DOI10.1007/978-3-319-00596-6zbMath1290.42002OpenAlexW415275914MaRDI QIDQ371909
Xavier Tolsa
Publication date: 10 October 2013
Published in: Progress in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-00596-6
Boundedness of certain commutators over non-homogeneous metric measure spaces ⋮
The Huovinen transform and rectifiability of measures ⋮
Nonnegative kernels and 1-rectifiability in the Heisenberg group ⋮
Rectifiable measures, square functions involving densities, and the Cauchy transform ⋮
Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces ⋮
Removable singularities for Lipschitz caloric functions in time varying domains ⋮
Singular integrals on \(C_{w^\ast}^{1,\alpha}\) regular curves in Banach duals ⋮
The traveling salesman theorem in Carnot groups ⋮
On the analyticity of the trajectories of the particles in the planar patch problem for some active scalar equations ⋮
Rectifiability of harmonic measure ⋮
Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions ⋮
Dyadic-probabilistic methods in bilinear analysis ⋮
On Neugebauer's covering theorem ⋮
Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮
Cones, rectifiability, and singular integral operators ⋮
Towards a regularity theory for integral Menger curvature ⋮
Extrapolation on function and modular spaces, and applications ⋮
On the pointwise domination of a function by its maximal function ⋮
Singular integrals on \(C^{1, \alpha}\) regular curves in Carnot groups ⋮
On the analytic and Cauchy capacities ⋮
Local comparability of measures, averaging and maximal averaging operators ⋮
On a generalization of the Hörmander condition ⋮
Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces ⋮
Bilinear Calderón-Zygmund theory on product spaces ⋮
On nontangential limits and shift invariant subspaces ⋮
Bounded point evaluations for rationally multicyclic subnormal operators ⋮
Invertibility in weak-star closed algebras of analytic functions ⋮
On \(p\)-adic spectral measures ⋮
The two-phase problem for harmonic measure in VMO ⋮
Energy minimisers of perturbed dislocation energies ⋮
Riesz transform and vertical oscillation in the Heisenberg group ⋮
Characterization of \(n\)-rectifiability in terms of Jones' square function. II ⋮
Integral Menger curvature and rectifiability of $n$-dimensional Borel sets in Euclidean $N$-space ⋮
Necessary condition for the L2 boundedness of the Riesz transform on Heisenberg groups ⋮
The precise representative for the gradient of the Riesz potential of a finite measure ⋮
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure ⋮
An \(\alpha\)-number characterization of \(L^p\) spaces on uniformly rectifiable sets ⋮
Multiplicative chaos and the characteristic polynomial of the CUE: The 𝐿¹-phase ⋮
A two-phase free boundary problem for harmonic measure and uniform rectifiability ⋮
Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension ⋮
Removable singularities for solutions of the fractional heat equation in time varying domains ⋮
Improved Cotlar's inequality in the context of local \(Tb\) theorems ⋮
The Riesz transform and quantitative rectifiability for general Radon measures ⋮
Sufficient conditions for C^1,α parametrization and rectifiability ⋮
Jump formulas for singular integrals and layer potentials on rectifiable sets ⋮
$L^p$ estimates for the variation for singular integrals on uniformly rectifiable sets ⋮
Cauchy transform and uniform approximation by polynomial modules ⋮
\(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type ⋮
Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem ⋮
Analysis and applications: The mathematical work of Elias Stein ⋮
Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮
Cauchy independent measures and almost-additivity of analytic capacity ⋮
Analytic capacity and projections ⋮
Measures that define a compact Cauchy transform ⋮
Variation for the Riesz transform and uniform rectifiability ⋮
The Riesz Transform of Codimension Smaller Than One and the Wolff Energy ⋮
Symmetrization of a Cauchy-like kernel on curves ⋮
Singular integrals on regular curves in the Heisenberg group ⋮
A new family of singular integral operators whose \(L^2\)-boundedness implies rectifiability ⋮
Non-homogeneous square functions on general sets: suppression and big pieces methods ⋮
Maximal multilinear commutators on non-homogeneous metric measure spaces ⋮
Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮
Geometric conditions for the \(L^2\)-boundedness of singular integral operators with odd kernels with respect to measures with polynomial growth in \(\mathbb{R}^d\) ⋮
Continuity of capacity of a holomorphic motion ⋮
On \(C^1\)-approximability of functions by solutions of second order elliptic equations on plane compact sets and \(C\)-analytic capacity ⋮
Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications ⋮
Harmonic measure and Riesz transform in uniform and general domains ⋮
A sharp necessary condition for rectifiable curves in metric spaces ⋮
Riesz transforms of non-integer homogeneity on uniformly disconnected sets ⋮
Characterization of \(n\)-rectifiability in terms of Jones' square function. I ⋮
\(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability ⋮
A proof of Carleson's \(\varepsilon^2\)-conjecture ⋮
A new approach to non-homogeneous local \(Tb\) theorems ⋮
A koebe distortion theorem for quasiconformal mappings in the Heisenberg group ⋮
Sufficient condition for rectifiability involving Wasserstein distance \(W_2\) ⋮
Multilinear Littlewood-Paley-Stein operators on non-homogeneous spaces ⋮
A family of singular integral operators which control the Cauchy transform ⋮
Analytic capacity and holomorphic motions ⋮
Gradient of the single layer potential and quantitative rectifiability for general Radon measures ⋮
Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group ⋮
Criteria for -approximability of functions on compact sets in , , by solutions of second-order homogeneous elliptic equations ⋮
Singular integrals unsuitable for the curvature method whose \(L^2\)-boundedness still implies rectifiability ⋮
Removable sets for Lipschitz harmonic functions on Carnot groups ⋮
Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow ⋮
On the harmonic measure and capacity of rational lemniscates
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