Maximal Convergence of Faber Series in Morrey-Smirnov Spaces

Authors

  • Ahmed Kinj Tishreen University

Abstract

Let  be a finite, simply connected domain in the complex plane  bounded by a regular closed curve . It is known that any function  analytic in  can be expanded into a Faber series of the form , where  are Faber series coefficients and  are Faber polynomials. In this work, the maximal convergence properties of the partial sums of the Faber series in the Morrey-Smirnov spaces , ,  of analytic functions defined on  are investigated.

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Published

2023-05-22

How to Cite

1.
كنج أ. Maximal Convergence of Faber Series in Morrey-Smirnov Spaces. TUJ-BA [Internet]. 2023May22 [cited 2024May10];45(2):25-36. Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/13058

Issue

Vol. 45 No. 2 (2023): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Articles

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