Corpus ID: 119174197

Composition Operators with Quasiconformal Symbols

@article{Fang2018CompositionOW,
title={Composition Operators with Quasiconformal Symbols},
author={X. Fang and K. Guo and Z. Wang},
journal={arXiv: Functional Analysis},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Functional Analysis
• 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 $L^p$-estimates of a class of singular integral operators $P_\varphi$ associated with a quasiconformal mapping $\varphi$.