Characterizations for certain analytic functions by series expansions with Hadamard gaps

A. El-Sayed Ahmed; A. Kamal; T.I. Yassen

doi:10.4067/S0719-06462014000100008

Characterizations for certain analytic functions by series expansions with Hadamard gaps

Authors

A. El-Sayed Ahmed Mathematics Department, Faculty of Science, Sohag University, 82524 Sohag, Egypt
A. Kamal Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
T.I. Yassen Department of Mathematics, Faculty of Science,, El Azhar University at Assiut, Assiut, Egypt

DOI:

https://doi.org/10.4067/S0719-06462014000100008

Keywords:

QK,Ï‰(p, q)-type spaces, Lacunary series

Abstract

In this paper we characterize Q_K,Ï‰(p, q) functions by lacunary series under mild conditions posed on the weight functions K and Ï‰, where Q_K,Ï‰(p, q) is a space of analytic functions defined in the unit disk generalizing the well known analytic Besov-type space.

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Published

2014-03-01

How to Cite

[1]

A. El-Sayed Ahmed, A. Kamal, and T. Yassen, “Characterizations for certain analytic functions by series expansions with Hadamard gaps”, CUBO, vol. 16, no. 1, pp. 81–93, Mar. 2014.