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...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/215400 |
| Acceso en línea: | http://hdl.handle.net/11336/215400 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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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