Fractional integrals on weighted hpspaces

We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. ©...

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Publicado: 1985
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v289_n2_p575_Gatto
http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029947_v289_n2_p575_Gatto
record_format dspace
spelling paper:paper_00029947_v289_n2_p575_Gatto2023-06-08T14:23:38Z Fractional integrals on weighted hpspaces We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. © 1985 American Mathematical Society. 1985 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v289_n2_p575_Gatto http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. © 1985 American Mathematical Society.
title Fractional integrals on weighted hpspaces
spellingShingle Fractional integrals on weighted hpspaces
title_short Fractional integrals on weighted hpspaces
title_full Fractional integrals on weighted hpspaces
title_fullStr Fractional integrals on weighted hpspaces
title_full_unstemmed Fractional integrals on weighted hpspaces
title_sort fractional integrals on weighted hpspaces
publishDate 1985
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v289_n2_p575_Gatto
http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto
_version_ 1768543159537631232

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