<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </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.

On Variable Exponent Amalgam Spaces

Department of Mathematics, Faculty of Arts and Sciences, Sinop University

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"On Variable Exponent Amalgam Spaces"}

We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some...

On Variable Exponent Amalgam Spaces

Publié en ligne: 21 mai 2013

Pages: 5 - 20

DOI: https://doi.org/10.2478/v10309-012-0051-2

Mots clés
Variable exponent Lebesgue spaces, Amalgam spaces, embedding, Fourier transform

This content is open access.

On Variable Exponent Amalgam Spaces

Publié en ligne: 21 mai 2013

Pages: 5 - 20

DOI: https://doi.org/10.2478/v10309-012-0051-2

Mots clésVariable exponent Lebesgue spaces, Amalgam spaces, embedding, Fourier transform

This content is open access.

Mots clés
Variable exponent Lebesgue spaces, Amalgam spaces, embedding, Fourier transform