Weighted inequalities for fractional type operators with some homogeneous kernels
In this paper, we study integral operators of the form, where Ai are certain invertible matrices, αi > 0, 1 ≤ i ≤ m, α1 + ... + αm = n - α, 0 ≤ α < n. For, we obtain the Lp(ℝn, wp) - Lq(ℝn,wq) boundedness for weights w in A(p, q) satisfying that there exists c > 0 such that w(Aix) ≤ cw(x),...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/100231 |
| Acceso en línea: | http://hdl.handle.net/11336/100231 |
| Access Level: | acceso abierto |
| Palabra clave: | BMO CALDERÓN-ZYGMUND OPERATORS FRACTIONAL OPERATORS MUCKENHOUPT WEIGHTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper, we study integral operators of the form, where Ai are certain invertible matrices, αi > 0, 1 ≤ i ≤ m, α1 + ... + αm = n - α, 0 ≤ α < n. For, we obtain the Lp(ℝn, wp) - Lq(ℝn,wq) boundedness for weights w in A(p, q) satisfying that there exists c > 0 such that w(Aix) ≤ cw(x), a.e. x ∈ ℝn, 1 ≤ i ≤ m. Moreover, we obtain the appropriate weighted BMO and weak type estimates for certain weights satisfying the above inequality. We also give a Coifman type estimate for these operators. |
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