English

Composition Operators with Quasiconformal Symbols

Functional Analysis 2018-04-17 v1 Classical Analysis and ODEs Complex Variables

Abstract

This paper seeks to extend the theory of composition operators on analytic functional Hilbert spaces from analytic symbols to quasiconformal ones. The focus is the boundedness but operator-theoretic questions are discussed as well. In particular, we present a thorough analysis of LpL^p-estimates of a class of singular integral operators PφP_\varphi associated with a quasiconformal mapping φ\varphi.

Keywords

Cite

@article{arxiv.1804.05352,
  title  = {Composition Operators with Quasiconformal Symbols},
  author = {Xiang Fang and Kunyu Guo and Zipeng Wang},
  journal= {arXiv preprint arXiv:1804.05352},
  year   = {2018}
}
R2 v1 2026-06-23T01:24:01.011Z