Xiang Fang, Kunyu Guo, Zipeng Wang
Published 2018-04-15Version 1
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 $\varphi$.
Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points
On the convexity of the Berezin range of composition operators and related questions
Analyticity and compactness of semigroups of composition operators
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