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Title

Develop Integrability on Weighted Bergman Spaces

Author

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

Citation

Vol. 22  No. 11  pp. 590-596

Abstract

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.

Keywords

(Bergman and Hardy spaces, composition operators, function of Nevanlinna counting)

URL

http://paper.ijcsns.org/07_book/202211/20221183.pdf