Corpus ID: 119174197

Composition Operators with Quasiconformal Symbols

  title={Composition Operators with Quasiconformal Symbols},
  author={X. Fang and K. Guo and Z. Wang},
  journal={arXiv: Functional Analysis},
  • X. Fang, K. Guo, Z. Wang
  • 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 $\varphi$. 


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