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- W2314695909 abstract "(Communicated by G. Sinnamon) Abstract. Suppose ϕ is an analytic self-map of open unit disk D and w is an analytic func- tion on D. Then a weighted composition operator induced by ϕ with weight w is given by (Ww,ϕ f)(z )= w(z)f(ϕ(z)) ,f orz ∈ D and f analytic on D.W efind a sufficient condition un- der which two composition operators lie in the same path component of C(H 2 ) ,a nd wefind as ufficient condition for the difference of such operators to be compact on H 2 (D) .T hen we provide another example that answers a question raised by Shapiro and Sundberg (18 )n ega- tively. Moreover, we characterize the Hilbert-Schmidt difference of two composition operators on H2(D)." @default.
- W2314695909 created "2016-06-24" @default.
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- W2314695909 date "2013-01-01" @default.
- W2314695909 modified "2023-09-27" @default.
- W2314695909 title "Difference of composition operators on Hardy space" @default.
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- W2314695909 doi "https://doi.org/10.7153/jmi-07-38" @default.
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