Weak inequalities for maximal functions in Orlicz–Lorentz spaces and applications
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon}(x) be any best constant approximation of f in Lambda_{w,phi´} on B(x,epsilon). Weak inequalities for maximal functions associated with {f^{epsilon}(x)}_epsilon, in Orlicz-Lorentz spaces, are proved....
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/109833 |
| Acceso en línea: | http://hdl.handle.net/11336/109833 |
| Access Level: | acceso abierto |
| Palabra clave: | ORLICZ-LORENTZ SPACES MAXIMAL FUNCTIONS BEST CONTANT APPROXIMANT A. E. CONVERGENCE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon}(x) be any best constant approximation of f in Lambda_{w,phi´} on B(x,epsilon). Weak inequalities for maximal functions associated with {f^{epsilon}(x)}_epsilon, in Orlicz-Lorentz spaces, are proved. As a consequence of these inequalities we obtain a generalization of Lebesgue´s Differentiation Theorem and the pointwise convergence of f^{epsilon}(x) to f(x), as epsilon tends to 0. |
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