Hardy spaces and quasiconformal maps in the Heisenberg group
From MaRDI portal
Publication:2680212
DOI10.1016/j.jfa.2022.109832OpenAlexW4313420076WikidataQ125294495 ScholiaQ125294495MaRDI QIDQ2680212
Tomasz Adamowicz, Katrin S. Fässler
Publication date: 30 January 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.10016
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Hardy spaces (30H10) Quasiconformal mappings in metric spaces (30L10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invertible Carnot groups
- \(H^p\)-theory for quasiconformal mappings
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Geodesics in the Heisenberg group
- Kelvin transforms and harmonic polynomials on the Heisenberg group
- Quasiextremal distance domains and extension of quasiconformal mappings
- The complex cross ratio on the Heisenberg group
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- A p-extremal length and p-capacity equality
- Quasiconformal maps in metric spaces with controlled geometry
- Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
- An inverse Sobolev lemma
- Carleson's inequality and quasiconformal mappings
- Extension of differentiable functions beyond the boundary of the domain on Carnot groups
- Polar coordinates in Carnot groups
- Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups
- Lectures on analysis on metric spaces
- Sobolev classes of Banach space-valued functions and quasiconformal mappings
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- \(H\)-type groups and Iwasawa decompositions
- Definitions of quasiconformality
- The \(H ^{p}\)-norm of a quasiconformal mapping
- The Neumann problem for Sub-Laplacians on Carnot groups and the extension theorem for Sobolev spaces
- Distortion of quasiconformal maps in terms of the quasihyperbolic metric
- On limits at infinity of weighted Sobolev functions
- Hardy spaces for quasiregular mappings and composition operators
- A koebe distortion theorem for quasiconformal mappings in the Heisenberg group
- \(H^p\) spaces of several variables
- Interpolations by bounded analytic functions and the corona problem
- Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
- Conformal Graph Directed Markov Systems on Carnot Groups
- A Characterization of Certain Measures Using Quasiconformal Mappings
- Moduli in Modern Mapping Theory
- A distortion theorem for quasiconformal mappings
- Distortion theorems for quasiregular mappings
- Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
- On the Means of Quasiregular and Quasiconformal Mappings
- Extensions of Hardy spaces and their use in analysis
- Regularity of quasi-linear equations in the Heisenberg group
- Sobolev met Poincaré
- Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type
- Regular domains in homogeneous groups
- Geometric construction of quasiconformal mappings in the Heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings
- Sobolev Spaces on Metric Measure Spaces
- Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group
- Modulus method and radial stretch map in the Heisenberg group
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- Lp Estimates for (Pluri-) Subharmonic Functions.
- Extension of a theorem of Carleson
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Rectifiability and perimeter in the Heisenberg group
This page was built for publication: Hardy spaces and quasiconformal maps in the Heisenberg group