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Title
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Develop Integrability on Weighted Bergman Spaces
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Author
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Zakieldeen Aboabuda Mohamed Alhassn Ali, Amna Mahmoud Bakhit, Manal Yagoub Ahmed Juma, Isra Abdalhleem Hassan Ali, Tahani Mahmuoud Ahmed Mohamed, and Sara Mustafa Alshareef Gesmallh
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Citation |
Vol. 22 No. 11 pp. 590-596
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Abstract
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We investigate composition operators between weighted Bergman spaces with reduced exponents. It is demonstrated that both compactness and boundedness of such an operator can be described by the integrability condition on a generalized Nevanlinna counting function of the inducing map. By selecting specific weights, composition operators mapping into the Hardy spaces are provide.
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Keywords
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(Bergman and Hardy spaces, composition operators, function of Nevanlinna counting)
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URL
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http://paper.ijcsns.org/07_book/202211/20221183.pdf
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