Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings
Analysis of PDEs
2021-05-18 v1
Abstract
In this paper we consider composition operators on Hardy-Sobolev spaces in connections with -quasiconformal mappings. Using the duality of Hardy spaces and -spaces we prove that -quasiconformal mappings generate bounded composition operators from Hardy-Sobolev spaces to Sobolev spaces.
Keywords
Cite
@article{arxiv.2105.07256,
title = {Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings},
author = {Alexander Menovschikov and Alexander Ukhlov},
journal= {arXiv preprint arXiv:2105.07256},
year = {2021}
}
Comments
12 pages