Generalized composition operator from Bloch-type spaces to mixed-norm space on the unit ball
نویسندگان
چکیده
منابع مشابه
Generalized Composition Operator from Bloch–type Spaces to Mixed–norm Space on the Unit Ball
Let H(B) be the space of all holomorphic functions on the unit ball B in CN , and S(B) the collection of all holomorphic self-maps of B . Let φ ∈ S(B) and g ∈ H(B) with g(0) = 0 , the generalized composition operator is defined by C φ ( f )(z) = ∫ 1 0 R f (φ(tz))g(tz) dt t , Here, we characterize the boundedness and compactness of the generalized composition operator acting from Bloch-type spac...
متن کاملWeighted Composition Operator from Bers-Type Space to Bloch-Type Space on the Unit Ball
In this paper, we characterize the boundedness and compactness of weighted composition operator from Bers-type space to Bloch-type space on the unit ball of Cn. 2010 Mathematics Subject Classification: Primary: 47B38; Secondary: 32A37, 32A38, 32H02, 47B33
متن کاملWeighted Composition Operator from Bloch–type Space to H∞ Space on the Unit Ball
In this paper, we characterize those holomorphic symbols u on the unit ball B and holomorphic self-mappings φ of B for which the weighted composition operator uCφ is bounded or compact from Bloch-type space to H∞ space. Mathematics subject classification (2010): Primary 47B33; Secondary 47B38.
متن کاملVolterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball
Let φ be a holomorphic self-map of the open unit ball B, g ∈ H(B). In this paper, the boundedness and compactness of the Volterra composition operator T g from generally weighted Bloch spaces to Bloch-type spaces are investigated. c ©2012 NGA. All rights reserved.
متن کاملOn an Integral-Type Operator from Zygmund-Type Spaces to Mixed-Norm Spaces on the Unit Ball
and Applied Analysis 3 2. Auxiliary Results In this section, we quote several lemmas which are used in the proofs of the main results. The first lemma was proved in 2 . Lemma 2.1. Assume that φ is a holomorphic self-map of , g ∈ H , and g 0 0. Then, for every f ∈ H it holds [ P g φ ( f )] z f ( φ z ) g z . 2.1 The next Schwartz-type characterization of compactness 28 is proved in a standard way...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2012
ISSN: 1846-579X
DOI: 10.7153/jmi-06-50