On Variable Exponent Amalgam Spaces

İsmail Aydin

doi:10.2478/v10309-012-0051-2

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On Variable Exponent Amalgam Spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 3 (December 2012)

By: İsmail Aydin

Open Access

|May 2013

Abstract

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

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