CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY

DOI10.1070/SM1977v031n03ABEH002304zbMath0388.30007OpenAlexW2105148070MaRDI QIDQ4169593

No author found.

Publication date: 1977

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1977v031n03abeh002304

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Approximation in the complex plane (30E10) Quasiconformal mappings in the complex plane (30C62)

Related Items

A smoothness problem for an integral of Cauchy type ⋮ On the curved wedge condition and the continuity moduli of conformal mappings ⋮ Quasianalytic classes of functions on a plane ⋮ Degree of approximation of analytic functions by ``near-best polynomial approximants ⋮ On theorems of Jackson and Bernstein type in the complex plane ⋮ The problem of approximation in mean on arcs in the complex plane ⋮ On the convergence of the Bieberbach polynomials in regions with corners ⋮ On the Christoffel function for the generalized Jacobi measures on a quasidisk ⋮ Approximation of analytic functions by polynomials with integer coefficients ⋮ Strong asymptotics for Bergman polynomials over domains with corners and applications ⋮ Approximation of harmonic functions on compact sets in \(\mathbb{C}\) ⋮ Approximation by polynomials composed of Weierstrass doubly periodic functions ⋮ On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles ⋮ Order of uniform approximation by polynomial interpolation in the complex plane and beyond ⋮ On approximation of continuous functions by trigonometric polynomials ⋮ Polynomial approximations and smoothness moduli of functions in regions with a quasiconformal boundary ⋮ Approximation of functions in domains with a quasiconformal boundary ⋮ Approximations by entire functions on countable unions of segments of the real axis ⋮ Dzyadyk's research on the theory of approximation of functions of a complex variable ⋮ Approximation of functions in domains with a quasiconformal boundary in weighted planar integral metrics ⋮ Direct and inverse theorems for approximation of functions for rational modules in domains with quasiconformal boundary ⋮ Constructive description of classes of harmonic functions with singularities on continua without zero exterior angles ⋮ Weighted \(L_p\) Bernstein-type inequalities on a quasismooth curve in the complex plane ⋮ Approximation by entire functions on a countable set of continua ⋮ Approximation of analytic functions and their real part ⋮ Nonlinear conformal modeling in approximating theory ⋮ Convergence of Bieberbach polynomials in domains with interior cusps ⋮ S. N. Bernstein type estimations in the mean on the curves in a complex plane ⋮ Order comparison of norms of polynomials in regions of the complex plane ⋮ Constructive description of Hölder-like classes on an arc in \(\mathbb{R}^3\) by means of harmonic functions ⋮ Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles ⋮ Growth estimates of conjugate harmonic polynomials in domains of the complex plane ⋮ Moduli of continuity of exterior and interior conformal mappings of the unit disc ⋮ Approximation by entire functions on a countable union of segments on the real axis. III: Further generalization ⋮ Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Zero Angles ⋮ Polynomial approximation of polyharmonic functions on a complement of a John domain ⋮ Uniform convergence of the \(p\)-Bieberbach polynomials in domains with zero angles ⋮ Interpolation through approximation in a Bernstein space ⋮ Weighted uniform polynomial approximation and moduli of smoothness on continua in the complex plane ⋮ On the approximation of a continuum by lemniscates ⋮ Constructive theory of analytic functions on a quasidisk ⋮ Approximate properties of the p-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles ⋮ Simultaneous approximation and interpolation of functions on continua in the complex plane. ⋮ Some singular integrals in regions with quasiconformal boundary ⋮ Maximal polynomial subordination to univalent functions in the unit disk