| Authors: | Stević, Stevo | Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | POLYNOMIAL DIFFERENTIATION COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES TO WEIGHTED-TYPE SPACES ON THE UNIT BALL | Journal: | Journal of Nonlinear and Variational Analysis | Volume: | 7 | Issue: | 3 | First page: | 397 | Last page: | 407 | Issue Date: | 2023 | Rank: | ~M21a | ISSN: | 2560-6921 | DOI: | 10.23952/jnva.7.2023.3.05 | Abstract: | We introduce a polynomial differentiation composition operator on spaces of holomorphic functions on the open unit ball in the n-dimensional complex vector space, and characterize the boundedness and compactness of the operator from the classical weighted Bergman space to the weighted-type space and the little weighted-type space of holomorphic functions on the unit ball. |
Keywords: | Compact operator | Holomorphic functions | Polynomial differentiation composition operator | Product-type operator | Weighted Bergman space | Weighted-type space | Publisher: | Biemdas Academic Publishers |
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