Year: 2018
Type: preprint
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 $L^p$-estimates of a class of singular integral operators $P_φ$ associated with a quasiconformal mapping $φ$.
Source: arXiv (Cornell University)
Authors: Fang, Xiang, Guo, Kunyu, Wang, Zipeng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G4404974181, G4516367484, G5637629189
OpenAlex ID: W2797805661