Weighted convolution inequalities for radial functions

We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz potentials of radial functions in weighted Lorentz spaces and embedding theor...

Descripción completa

Detalles Bibliográficos
Autores principales: De Nápoli, Pablo Luis, Drelichman, Irene
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/103166
https://link.springer.com/article/10.1007/s10231-013-0370-6
Aporte de:
id I19-R120-10915-103166
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Convolution
Young’s inequality
Radial functions
Riesz potentials
Fractional integrals
Weighted Besov spaces
spellingShingle Ciencias Exactas
Matemática
Convolution
Young’s inequality
Radial functions
Riesz potentials
Fractional integrals
Weighted Besov spaces
De Nápoli, Pablo Luis
Drelichman, Irene
Weighted convolution inequalities for radial functions
topic_facet Ciencias Exactas
Matemática
Convolution
Young’s inequality
Radial functions
Riesz potentials
Fractional integrals
Weighted Besov spaces
description We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz potentials of radial functions in weighted Lorentz spaces and embedding theorems for radial Besov spaces with power weights.
format Articulo
Articulo
author De Nápoli, Pablo Luis
Drelichman, Irene
author_facet De Nápoli, Pablo Luis
Drelichman, Irene
author_sort De Nápoli, Pablo Luis
title Weighted convolution inequalities for radial functions
title_short Weighted convolution inequalities for radial functions
title_full Weighted convolution inequalities for radial functions
title_fullStr Weighted convolution inequalities for radial functions
title_full_unstemmed Weighted convolution inequalities for radial functions
title_sort weighted convolution inequalities for radial functions
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/103166
https://link.springer.com/article/10.1007/s10231-013-0370-6
work_keys_str_mv AT denapolipabloluis weightedconvolutioninequalitiesforradialfunctions
AT drelichmanirene weightedconvolutioninequalitiesforradialfunctions
bdutipo_str Repositorios
_version_ 1764820441641254913