Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling

Revista con referato

Guardado en:
Detalles Bibliográficos
Autores principales: Corvalán, Álvaro, Milman, Mario
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Yokohama Publishers 2025
Materias:
Functional Analysis
Reverse Hölder
Weights
Interpolation
Extrapolation
Self-Improvement
Indices
Matemáticas
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2346
Aporte de:
Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2346
record_format dspace
spelling I71-R177-UNGS-23462025-07-29T17:46:40Z Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling Corvalán, Álvaro Milman, Mario Functional Analysis Reverse Hölder Weights Interpolation Extrapolation Self-Improvement Indices Matemáticas Revista con referato Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. Extending results in [50] and [49] we characterize the classical classes of weights that satisfy reverse Hölder inequalities in terms of indices of suitable families of K?functionals of the weights. In particular, we introduce a Samko type of index (cf. [41]) for families of functions, that is based on quasi-monotonicity, and use it to provide an index characterization of the RHp classes, as well as the limiting class RH = RHLLogL =. S p>1 RHp (cf. [8]), which in the abstract case involves extrapolation spaces. Reverse Hölder inequalities associated to L(p, q) norms, and non-doubling measures are also treated. 2025-07-29T17:46:40Z 2025-07-29T17:46:40Z 2021 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Corvalán, Á. y Milman, M. (2021). Reverse Hölder inequalities revisited: Interpolation, Extrapolation, Indices and Doubling. Pure and Applied Functional Analysis, 6(3), 565-604. 2189-3764 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2346 eng https://doi.org/10.48550/arXiv.1907.11327 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Yokohama Publishers Pure and Applied Functional Analysis. 2021; 6(3): 565-604
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Functional Analysis
Reverse Hölder
Weights
Interpolation
Extrapolation
Self-Improvement
Indices
Matemáticas
spellingShingle Functional Analysis
Reverse Hölder
Weights
Interpolation
Extrapolation
Self-Improvement
Indices
Matemáticas
Corvalán, Álvaro
Milman, Mario
Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
topic_facet Functional Analysis
Reverse Hölder
Weights
Interpolation
Extrapolation
Self-Improvement
Indices
Matemáticas
description Revista con referato
format Artículo
Artículo
publishedVersion
author Corvalán, Álvaro
Milman, Mario
author_facet Corvalán, Álvaro
Milman, Mario
author_sort Corvalán, Álvaro
title Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
title_short Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
title_full Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
title_fullStr Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
title_full_unstemmed Reverse Hölder inequalities revisited : Interpolation, Extrapolation, Indices and Doubling
title_sort reverse hölder inequalities revisited : interpolation, extrapolation, indices and doubling
publisher Yokohama Publishers
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2346
work_keys_str_mv AT corvalanalvaro reverseholderinequalitiesrevisitedinterpolationextrapolationindicesanddoubling
AT milmanmario reverseholderinequalitiesrevisitedinterpolationextrapolationindicesanddoubling
_version_ 1842217802238263296

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