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math.FA2018
Three Remarks on Carleson Measures for Dirichlet Space
Guozheng Cheng, Xiang Fang, Zipeng Wang +1
In this paper, we prove that all doubling measures on the unit disk are Carleson measures for the standard Dirichlet space . The proof has three ingredien…
math.FA2018
Composition Operators with Quasiconformal Symbols
Xiang Fang, Kunyu Guo, Zipeng Wang
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…