Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces

Joaquim Martín i Pedret; Walter Andrés Ortiz Vargas

doi:10.1007/s11118-022-10006-z

Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces

Joaquim Martín i Pedret^*, Walter Andrés Ortiz Vargas

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

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Resumen

We obtain symmetrization inequalities in the context of Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measures our symmetrization inequalities are equivalent to the lower bound of the measure.

Idioma original	Inglés
Páginas (desde-hasta)	1191-1204
Publicación	Potential Analysis
Volumen	59
N.º	3
DOI	https://doi.org/10.1007/s11118-022-10006-z
Estado	Publicada - 2023

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10.1007/s11118-022-10006-z

https://ddd.uab.cat/record/259771

INTEGRALES SINGULARES, TEORIA GEOMETRICA DE LA MEDIDA Y EDP'S
Tolsa Domenech, X. (Principal Investigator), Dabrowski ., D. M. (Colaborador/a), Gallegos Saliner, J. M. (Colaborador/a), Guillen Mola, I. (Colaborador/a), Molero Casanova, A. (Colaborador/a), Prats Soler, M. (Colaborador/a), Sakellaris , G. (Colaborador/a), Martin Pedret, J. (Investigador/a), Prat Baiget, L. (Investigador/a), Hernandez Garcia, J. (Colaborador/a) & Ville Oikari, T. (Colaborador/a)
1/09/21 → 31/08/25
Proyecto: Proyectos y Ayudas de Investigación

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@article{048450e5a62142b797794bef39dd5600,

title = "Sobolev Embeddings for Fractional Haj{\l}asz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces",

abstract = "We obtain symmetrization inequalities in the context of Fractional Haj{\l}asz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measures our symmetrization inequalities are equivalent to the lower bound of the measure.",

keywords = "Sobolev inequality, Fractional Haj{\l}asz-Sobolev spaces, Metric measure spaces",

author = "{Mart{\'i}n i Pedret}, Joaquim and {Ortiz Vargas}, {Walter Andr{\'e}s}",

year = "2023",

doi = "10.1007/s11118-022-10006-z",

language = "English",

volume = "59",

pages = "1191--1204",

journal = "Potential Analysis",

issn = "0926-2601",

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T1 - Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces

AU - Martín i Pedret, Joaquim

AU - Ortiz Vargas, Walter Andrés

PY - 2023

Y1 - 2023

N2 - We obtain symmetrization inequalities in the context of Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measures our symmetrization inequalities are equivalent to the lower bound of the measure.

AB - We obtain symmetrization inequalities in the context of Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measures our symmetrization inequalities are equivalent to the lower bound of the measure.

KW - Sobolev inequality

KW - Fractional Hajłasz-Sobolev spaces

KW - Metric measure spaces

U2 - 10.1007/s11118-022-10006-z

DO - 10.1007/s11118-022-10006-z

M3 - Article

SN - 0926-2601

VL - 59

SP - 1191

EP - 1204

JO - Potential Analysis

JF - Potential Analysis

IS - 3

ER -

Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces

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