Product-type Operators from General Space to -Bloch Spaces on the Unit Ball in

Let be the open unit ball in Let be the collection of all analytic functions on and be the collection of all analytic self-maps on . For and consider the operator from the general space into -Bloch spaces on , where denotes the radial derivative of . We study the boundedness and compactness of . Als...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023, Vol.44 (7), p.2870-2890
Main Authors: Poongothai, K., Youvaraj, G. P.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Analytic functions
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
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Summary:Let be the open unit ball in Let be the collection of all analytic functions on and be the collection of all analytic self-maps on . For and consider the operator from the general space into -Bloch spaces on , where denotes the radial derivative of . We study the boundedness and compactness of . Also, we obtain estimates for its norm and essential norm using ( )-condition.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223070351