Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/142977 |
| Acceso en línea: | http://hdl.handle.net/11336/142977 |
| Access Level: | acceso abierto |
| Palabra clave: | SCHRÖDINGER OPERATOR SINGULAR INTEGRAL WEIGHTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for any weight w. Specifically, we are interested in the case of T being any first or second order Riesz transform associated to the Schrödinger operator L = −Δ + V , with V a non-negative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms ∇L−1/2 and ∇2 L−1 we make use of a result due to C. Pérez where this problem is solved for classical Calderón-Zygmund operators. |
|---|