CHARACTERIZATIONS FOR CERTAIN ANALYTIC FUNCTIONS BY SERIES EXPANSIONS WITH HADAMARD GAPS

CHARACTERIZATIONS FOR CERTAIN ANALYTIC FUNCTIONS BY SERIES EXPANSIONS WITH HADAMARD GAPS

In this paper we characterize Q K,ω (p, q) functions by lacunary series under mild conditions posed on the weight functions K and ω, where Q K,ω (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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Detalles Bibliográficos
Autores principales: A. El-Sayed,Ahmed, Kamal,A, Yassen,T.I
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:
Q K,ω (p, q)-type spaces
Lacunary series
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100008
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Descripción
Sumario:In this paper we characterize Q K,ω (p, q) functions by lacunary series under mild conditions posed on the weight functions K and ω, where Q K,ω (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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