zbMath0606.30001MaRDI QIDQ3744437
Olli Lehto
Publication date: 1987
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hausdorff dimensions of quasilines and differentiability of quasisymmetric homeomorphisms ⋮
Absolutely continuous conjugacies of Blaschke products. III ⋮
Besov functions and tangent space to the integrable Teichmüller space ⋮
Numerical solution of the Beltrami equation via a purely linear system ⋮
On some results for a class of meromorphic functions having quasiconformal extension ⋮
Factoring the logarithmic spiral ⋮
Some remarks on Teichmüller spaces and modular groups ⋮
Area distortion of quasiconformal mappings ⋮
On the conformal mappings in the unit disk fixing arbitrarily many boundary points ⋮
Quasisymmetric maps and string theory ⋮
Rational maps as Schwarzian primitives ⋮
Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮
Moduli spaces for real algebraic curves and real abelian varieties ⋮
A theory of ordinary \(p\)-adic curves ⋮
Affine coordinates for Teichmüller spaces ⋮
Finite degree holomorphic covers of compact Riemann surfaces ⋮
Distortion functions for plane quasiconformal mappings ⋮
Local solutions of \(w+A(z)w=0\) and branched polymorphic functions ⋮ Affine invariants of generalized polygons and matching under affine transformations ⋮ An isomorphism theorem for Teichmüller curves ⋮ Quasisymmetric graphs and Zygmund functions ⋮ On \(\mathcal{Q}_K\)-Teichmüller spaces ⋮ Isomorphisms of fiber spaces over Teichmüller spaces ⋮ Geodesic uniqueness problem in infinite-dimensional Teichmüller spaces ⋮ Some characterizations of the integrable Teichmüller space ⋮ Invariant Schwarzian derivatives of higher order ⋮ Holomorphic extensions of Laplacians and their determinants ⋮ Residual stress in membranes ⋮ A quasiconformal dynamic property of the disk ⋮ The bumping set and the characteristic submanifold ⋮ General distortion theorem for univalent functions with quasiconformal extension ⋮ Astala's conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane ⋮ Higher Bers maps and BMO-Teichmüller space ⋮ A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type ⋮ Constructing conformal maps of triangulated surfaces ⋮ Teichmüller spaces for pointed Fuchsian groups ⋮ Holography and wormholes in \(2+1\) dimensions ⋮ Asymptotic variance of the Beurling transform ⋮ Fourier coefficients of Zygmund functions and analytic functions with quasiconformal deformation extensions ⋮ Realization of Virasoro unitarizing measures on the set of Jordan curves. ⋮ Affine coordinates and Virasoro unitarizing measures. ⋮ Quasiconformal extension of strongly spirallike functions ⋮ On Grunsky inequalities and the exact domain of variability of the Grunsky functional ⋮ A quasiconformal extension using the parametric representation ⋮ The inner radii of finite-dimensional Teichmüller spaces ⋮ Solution to \(n\)-dimensional Sturm-Liouville-like equations using multi-dimensional Schwarzian ⋮ Conformal invariants associated with quadratic differentials ⋮ On weakly non-decreasable quasiconformal mappings ⋮ Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains ⋮ An analogue of the UP-iteration for constant mean curvature one surfaces in hyperbolic 3-space. ⋮ Quasiconformal Lipschitz maps, Sullivan's convex hull theorem and Brennan's conjecture ⋮ \(\mu(z)\)-homeomorphisms in the plane ⋮ Orbits and their accumulation points of cyclic subgroups of modular groups ⋮ Some notes on geodesic segments in infinite dimensional Teichmüller spaces ⋮ Differential tests for plurisubharmonic functions and Koch curves ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ An alternative to wave mechanics on curved spaces ⋮ The Schwarzian derivative and conformally natural quasiconformal extensions from one to two to three dimensions ⋮ Circle patterns with the combinatorics of the square grid ⋮ On dilatations and substantial boundary points of homeomorphisms of Jordan curves ⋮ The Kraus inequality for multivalent functions ⋮ Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator ⋮ The Schwarzian derivative and conformal mapping of Riemannian manifolds ⋮ Dynamics on Teichmüller spaces and self-covering of Riemann surfaces ⋮ Quadratic differentials and conformal invariants ⋮ Quasiconformal extensions, Loewner chains, and the \(\lambda \)-lemma ⋮ Geometric invariants associated with projective structures and univalence criteria ⋮ Non-Strebel points and variability sets ⋮ Distortion control of conjugacies between quadratic polynomials ⋮ Factorization of delta-monotone linear mappings ⋮ Univalent functions, \(VMOA\) and related spaces ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ On conformal mappings onto quasidisks ⋮ Mappings of finite distortion: generalized Hausdorff dimension distortion ⋮ \(C^\infty \)-convergence of conformal mappings for conformally equivalent triangular lattices ⋮ Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks ⋮ Image of asymptotic Bers map ⋮ Bordered Riemann surfaces in \(\mathbb C^2\) ⋮ First-order univalence criteria, interior chord-arc conditions and quasidisks ⋮ The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map ⋮ Biholomorphic isomorphisms between Teichmüller curves ⋮ A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface ⋮ Unique extremality of quasiconformal mappings ⋮ Pseudo-Anosov maps and fixed points of boundary homeomorphisms compatible with a Fuchsian group ⋮ Holomorphic motions, Fatou linearization, and quasiconformal rigidity for parabolic germs ⋮ Complex geometry of Teichmüller domains ⋮ Holomorphic quadratic differentials in Teichmüller theory ⋮ Universal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds ⋮ Conformal mappings and dispersionless Toda hierarchy ⋮ Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces ⋮ Teichmüller spaces and holomorphic motions ⋮ The geometry of \(R\)-covered foliations ⋮ Univalent analytic functions and the Poincaré metric ⋮ Universal Teichmüller space and Diff S\({}^ 1/S^ 1\) ⋮ Conformal systolic area of the cristallographic groups of the plane ⋮ Local conformal field algebras ⋮ Infinite-dimensional geometry and closed string-field theory ⋮ A class of norms on the spaces of Schwarzian derivatives and its applications ⋮ Grunsky's inequality and its applications to Teichmüller spaces ⋮ Evolution of conformal maps with quasiconformal extensions ⋮ Inequalities for meromorphic univalent functions with nonzero pole ⋮ Three rigidity criteria for 𝑃𝑆𝐿(2,𝐑) ⋮ Multisymplectic structures and invariant tensors for Lie systems ⋮ Unnamed Item ⋮ Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space ⋮ On symmetric homeomorphisms on the real line ⋮ Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane ⋮ On the normal criterion of quasimeromorphic mappings ⋮ Convergence of the Weil–Petersson metric on the Teichmüller space of bordered Riemann surfaces ⋮ Geodesic uniqueness and derivatives of Bers projection ⋮ Asymptotically symmetric embeddings and symmetric quasicircles ⋮ Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold ⋮ Cusps in complex boundaries of one-dimensional Teichmüller space ⋮ Unnamed Item ⋮ Univalence Criteria and Quasiconformal Extensions ⋮ Schwarzian Derivatives and Zeros of Solutions to Second Order Linear Differential Equations ⋮ On the Weil-Petersson convex geometry of Teichmüller space ⋮ Dynamics of Certain Nonconformal Degree-Two Maps of the Plane ⋮ Complex Geometry of Universal Teichm¨uller Space ⋮ On existence of Becker extension ⋮ Equiboundedness of the Weil-Petersson metric ⋮ Schwarzian norm estimate for functions in Robertson class ⋮ Schwarzian norm estimates for some classes of analytic functions ⋮ Strongly symmetric homeomorphisms on the real line with uniform continuity ⋮ Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces ⋮ Dirichlet spaces of domains bounded by quasicircles ⋮ A note on quasisymmetric homeomorphisms ⋮ Teichmüller theory of the universal hyperbolic lamination ⋮ The \(p\)-integrable Teichmüller space for \(p \geqslant 1\) ⋮ A study of the higher-order Schwarzian derivatives of Hirotaka Tamanoi ⋮ Bers' simultaneous uniformization and the intersection of Poincaré holonomy varieties ⋮ Univalence criteria for locally univalent analytic functions ⋮ Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space ⋮ Analytic and geometric quasiinvariants of convex curvelinear polygons with infinite number of vertices ⋮ Parametrization of the \(p\)-Weil-Petersson curves: holomorphic dependence ⋮ Teichmüller spaces of generalized symmetric homeomorphisms ⋮ Infinite limits in the iteration of entire functions ⋮ Comparison Moduli Spaces of Riemann Surfaces ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Projective-umbilic points of circular real hypersurfaces in $\mathbb {C}^2$ ⋮ Loewner Theory for Quasiconformal Extensions: Old and New ⋮ Geometric Isomorphisms between Infinite Dimensional Teichmüller Spaces ⋮ Transfer operators acting on Zygmund functions ⋮ Univalent functions with quasiconformal extensions: Becker’s class and estimates of the third coefficient ⋮ Extremal quasiconformal mappings compatible with Fuchsian groups ⋮ Quasiconformal Teichmüller theory as an analytical foundation for two-dimensional conformal field theory ⋮ Quantization of the universal Teichmüller space ⋮ Asymptotic Teichmüller space of a closed set of the Riemann sphere ⋮ Maximal univalent disks of real rational functions and Hermite-Biehler polynomials ⋮ In search of infinite-dimensional Kähler geometry ⋮ On asymptotic Teichmüller space ⋮ A “regular” pentagonal tiling of the plane ⋮ Pure mapping class group acting on Teichmüller space ⋮ Regularity of the Beltrami equation and 1-quasiconformal embeddings of surfaces in ℝ³ ⋮ Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface ⋮ Cusp shape and tunnel number ⋮ Non-linear water waves (KdV) equation by Painlevé property and Schwarzian derivative ⋮ Complex earthquakes and Teichmüller theory ⋮ On extremal quasiconformal mappings of non-landslide type ⋮ Unnamed Item ⋮ Lipschitz and quasiconformal approximation of homeomorphism pairs ⋮ Conformal superfield structures ⋮ About the error term for best approximation with respect to the Hausdorff related metrics ⋮ On zeros of polynomials orthogonal over a convex domain ⋮ Unnamed Item ⋮ \(\bar \partial{}\)-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy ⋮ Angle geometry in the universal Teichmüller space ⋮ Thurston’s weak metric on the Teichmüller space of the torus ⋮ Quasiconformal Mappings and Ahlfors-David Curves ⋮ A new version of the main inequality and the uniqueness of harmonic maps ⋮ Teichmüller spaces and coefficient problems for univalent holomorphic functions ⋮ Notes on univalent functions with quasiconformal extensions ⋮ Quasisymmetric structures on surfaces ⋮ From dynamics on surfaces to rational points on curves ⋮ Integrable Teichmüller space ⋮ Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains ⋮ Loewner chain and quasiconformal extension of some classes of univalent functions ⋮ Unnamed Item ⋮ The Poincaré metric and isoperimetric inequalities for hyperbolic polygons ⋮ Asymptotically Poincaré surfaces in quasi-Fuchsian manifolds ⋮ Exponential Thurston maps and limits of quadratic differentials ⋮ The parameterized Steiner problem and the singular Plateau problem via energy ⋮ Teichmüller spaces of non-discrete groups ⋮ Applications of noncommutative geometry in function theory and mathematical physics ⋮ Convergence of Teichmüller deformations in the universal Teichmüller space ⋮ Factoring the higher dimensional quasiconformal mappings ⋮ A symplectic functional analytic proof of the conformal welding theorem ⋮ The failure of analyticity of Hausdorff dimensions of quasi-circles of Fuchsian groups of the second kind ⋮ Limits of harmonic maps and crowned hyperbolic surfaces ⋮ Rigidity and topological conjugates of topologically tame Kleinian groups ⋮ Differentiability of quasi-conformal maps on the jungle gym ⋮ Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds ⋮ Projective structures with discrete holonomy representations ⋮ The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions ⋮ Quasi-conformal mapping theorem and bifurcations ⋮ Higher Schwarzian derivative and Dirichlet Morrey space ⋮ Uniformization of metric surfaces using isothermal coordinates ⋮ A proof of Hall's conjecture on length of ray images under starlike mappings of order α ⋮ QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ A characterization of Sierpiński carpet rational maps ⋮ Limits of Teichmüller mappings on trajectories ⋮ Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows ⋮ Minimal discs in hyperbolic space bounded by a quasicircle at infinity ⋮ The moduli space of Riemann surfaces of large genus ⋮ Singular generalized analytic functions ⋮ Norm of the pre-Schwarzian derivative, Bloch's constant and coefficient bounds in some classes of harmonic mappings ⋮ On the persistence of pseudo-holomorphic curves on an almost complex torus (with an appendix by Jürgen Pöschel) ⋮ Grunsky inequalities and quasi-conformal extension ⋮ Fiber spaces over Teichmüller spaces for Fuchsian groups with elliptic elements ⋮ The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible ⋮ Large deviations of Schramm-Loewner evolutions: a survey ⋮ Projective structures inducing covering maps ⋮ \(\mathcal{Q}_K\) spaces: a brief and selective survey ⋮ Higher Schwarzian operators and combinatorics of the Schwarzian derivative ⋮ On locally quasiconformal mappings ⋮ Quadratic rational maps with a 2-cycle of Siegel disks ⋮ Conformal mappings of a once-holed torus ⋮ The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results ⋮ Baker domains and non-convergent deformations ⋮ Action of Möbius transformations on homeomorphisms: Stability and rigidity ⋮ Greater parametric downside risk aversion ⋮ On Teichmüller space of circle diffeomorphisms with Hölder continuous derivative ⋮ On Gehring-Pommerenke's estimate for quasicircles ⋮ Quasiconformal mappings as a tool to study certain two-dimensional \(G\)-closure problems ⋮ On locally quasiconformal Teichmüller spaces ⋮ BMOA \((R,m)\) and capacity density Bloch spaces on hyperbolic Riemann surfaces ⋮ Weak Schwarzians, bounded hyperbolic distortion, and smooth quasisymmetric functions ⋮ Quasiconformal maps of bordered Riemann surfaces with \(L^2\) Beltrami differentials ⋮ Kählerity and negativity of Weil-Petersson metric on square integrable Teichmüller space ⋮ Book Review: Riemann surfaces ⋮ On non-normal solutions of linear differential equations ⋮ Aharonov invariants revisited ⋮ The Schwarzian derivative of a \(p\)-valent function ⋮ Aspects of univalence in holographic axion models ⋮ BMO embeddings, chord-arc curves, and Riemann mapping parametrization ⋮ Kobayashi's and Teichmüller's metrics on the Teichmüller space of symmetric circle homeomorphisms ⋮ Ahlfors-Weill extensions for harmonic mappings ⋮ Conformal loop ensembles and the stress-energy tensor ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Analysis on quasidisks: a unified approach through transmission and jump problems ⋮ Teichmüller spaces and coefficient problems for univalent holomorphic functions ⋮ Bounded Schwarzian and two-point distortion ⋮ Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operators ⋮ Hausdorff dimension of quasi-cirles of polygonal mappings and its applications ⋮ Schiffer operators and calculation of a determinant line in conformal field theory ⋮ On a relation between the universal Teichmüller space and the Grunsky operator ⋮ A note on the density of a subset of all integrable holomorphic quadratic differentials ⋮ Fredholm eigenvalues and quasiconformal geometry of polygons ⋮ Use of quadratic differentials for description of defects and textures in liquid crystals and \(2+1\) gravity ⋮ Integrable Teichmüller spaces ⋮ Harmonic maps and asymptotic Teichmüller space ⋮ Finitely generated function fields and complexity in potential theory in the plane ⋮ Teichmüller space theory and classical problems of geometric function theory ⋮ Weil-Petersson Teichmüller space. III: Dependence of Riemann mappings for Weil-Petersson curves ⋮ Strengthened Moser's conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues ⋮ Criteria for univalency and quasiconformal extension for harmonic mappings ⋮ Bers isomorphism on the universal Teichmüller curve ⋮ Maximal coefficient functionals on univalent functions ⋮ On Grunsky operator ⋮ Schwarzian derivatives for pluriharmonic mappings ⋮ Inter-universal Teichmüller theory. I: Construction of Hodge theaters ⋮ Inter-universal Teichmüller theory. II: Hodge-Arakelov-theoretic evaluation ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Teichmüller space of circle diffeomorphisms with Hölder continuous derivatives ⋮ Noded Teichmüller spaces ⋮ Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces ⋮ Coherence of limit points in the fibers over the asymptotic Teichmüller space ⋮ Certain integrability of quasisymmetric automorphisms of the circle ⋮ Spirals and the asymptotic Teichmüller space ⋮ The energy of a deterministic Loewner chain: reversibility and interpretation via SLE\(_{0+}\) ⋮ On quasisymmetric homeomorphisms ⋮ Holomorphic contractibility of Teichmüller spaces ⋮ A function model for the Teichmüller space of a closed hyperbolic Riemann surface ⋮ Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\) ⋮ Conformal invariants of QED domains ⋮ On holomorphic sections in Teichmüller spaces ⋮ Open conformal cobordisms ⋮ Local boundary dilatation of quasiconformal maps in the disk ⋮ Extremal problems for quasiconformal maps of punctured plane domains ⋮ Note on \(p\)-harmonic measure ⋮ A family of non-injective skinning maps with critical points ⋮ On analytic properties of deformation spaces of Kleinian groups ⋮ Dilatations and exponents of quasisymmetric homeomorphisms ⋮ Quasiconformal extension of meromorphic functions with nonzero pole ⋮ Loewner chains with quasiconformal extensions: an approximation approach ⋮ A Thurston boundary and visual sphere of the universal Teichmüller space ⋮ Strongly quasiconformal extension of harmonic mappings ⋮ Teichmüller spaces and BMOA ⋮ Equivalence of a harmonic oscillator to a free particle and Eisenhart lift ⋮ Exact meromorphic solutions of Schwarzian differential equations ⋮ Area problem for univalent functions in the unit disk with quasiconformal extension to the plane ⋮ Equivalent descriptions of the Loewner energy ⋮ The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel ⋮ The Velling-Kirillov metric of the universal Teichmüller curve ⋮ Universal Teichmüller space in geometry and physics ⋮ A real-variable construction with applications to BMO-Teichmüller theory ⋮ Classical and quantum Teichmüller spaces ⋮ The geometry of the universal Teichmüller space and the Euler-Weil-Petersson equation ⋮ Convexity and Teichmüller spaces