Convolution Algebraic Structures Defined by Hardy-Type Operators

The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+). To do this, we consider some suitable kernels such that the Hardy-type operator is bounded in weigh...

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Bibliographic Details
Main Authors: Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/212465

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