Two weighted inequalities for convolution maximal operators
Let ψ: ℝ → [0, ∞) an integrable function such that ψχ(-∞,0) = 0 and ψ is decreasing in (0, ∞). Let τhf(x) = f(x - h), with h ∈ ℝ \ {0} and f R(x) = 1/Rf(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mτhψf(x) = supR>0 |f| * [τhψ]R(x) are of w...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/100610 |
| Acesso em linha: | http://hdl.handle.net/11336/100610 |
| Access Level: | acceso abierto |
| Palavra-chave: | Two weighted inequalities Convolution maximal operators https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | Let ψ: ℝ → [0, ∞) an integrable function such that ψχ(-∞,0) = 0 and ψ is decreasing in (0, ∞). Let τhf(x) = f(x - h), with h ∈ ℝ \ {0} and f R(x) = 1/Rf(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mτhψf(x) = supR>0 |f| * [τhψ]R(x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞. |
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