Characterizations for certain analytic functions by series expansions with Hadamard gaps

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DOI:

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

Abstract

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

Keywords

QK,ω(p, q)-type spaces , Lacunary series
  • 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
  • Pages: 81–93
  • Date Published: 2014-03-01
  • Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal

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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.

Issue

Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal

Section

Articles