Some Non-standard Biparametric Poincaré Type Inequalities Through Harmonic Analysis

We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploiting the interplay between maximal functions and fractional integrals. We also provide a sharper result by using extrapol...

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Detalhes bibliográficos
Autores: Cejas, María Eugenia, Mosquera, Carolina Alejandra, Pérez, Carlos, Rela, Ezequiel
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/215400
Acesso em linha:http://hdl.handle.net/11336/215400
Access Level:Acceso aberto
Palavra-chave:EXTRAPOLATION THEORY OF WEIGHTS
FRACTIONAL OPERATORS
MUCKENHOUPT WEIGHTS
MUTIPARAMETER HARMONIC ANALYSIS
POINCARÉ–SOBOLEV INEQUALITIES
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploiting the interplay between maximal functions and fractional integrals. We also provide a sharper result by using extrapolation techniques.

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