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On Variable Exponent Amalgam Spaces

Name: On Variable Exponent Amalgam Spaces
Creator: İsmail Aydin
Keywords: embedding, fourier transform, QA1-939, variable exponent lebesgue spaces, 0101 mathematics, amalgam spaces, 01 natural sciences, Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2012Publisher:Walter de Gruyter GmbHJournal:Analele Universitatii "Ovidius" Constanta - Seria Matematica, volume 20, pages 5-20 (eissn: 1844-0835,

Authors: İsmail Aydin;

doi: 10.2478/v10309-012-0051-2

On Variable Exponent Amalgam Spaces

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Abstract

Abstract We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(.)w ;Lqv) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(.)w (ℝn) and the global component is a weighted Lebesgue space Lqv (ℝn) : We investigate the properties of the spaces W(Lp(.)w ;Lqv): We also present new Hölder-type inequalities and embeddings for these spaces.

Related Organizations

Sinop University
Turkey

Keywords

embedding, fourier transform, QA1-939, variable exponent lebesgue spaces, amalgam spaces, Mathematics

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