Norms and essential norms of composition operators from H ∞ to general weighted Bloch spaces in the polydisk
نویسندگان
چکیده
منابع مشابه
Estimates of Essential Norms of Weighted Composition Operator from Bloch Type Spaces to Zygmund Type Spaces
Let u be a holomorphic function and φ a holomorphic self-map of the open unit disk D in the complex plane. We give some new characterizations for the boundedness of the weighted composition operators uCφ from Bloch type spaces to Zygmund type spaces in D in terms of u,φ, their derivatives and the n-th power φ of φ. Moreover, we obtain some similar estimates for their essential norms. From which...
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متن کاملThe Essential Norms of Composition Operators between Generalized Bloch Spaces in the Polydisc and Their Applications
Let Un be the unit polydisc of Cn and φ = (φ1, . . . ,φn) a holomorphic self-map of Un. p(Un), p 0 (U n), and p 0∗(U n) denote the p-Bloch space, little p-Bloch space, and little star p-Bloch space in the unit polydisc Un, respectively, where p,q > 0. This paper gives the estimates of the essential norms of bounded composition operators Cφ induced by φ between p(Un) ( p 0 (U n) or p 0∗(U n)) an...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2011
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2011-46