NEW ESTIMATES FOR THE MAXIMAL FUNCTIONS AND APPLICATIONS
In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant of Bennett-DeVore-Sharpley's inequality for rearrangements. As a consequence, we improve the classical Stein-Zy...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/535417 |
| Acesso em linha: | http://hdl.handle.net/2072/535417 |
| Access Level: | acceso abierto |
| Palavra-chave: | extrapolations Fefferman-Stein's inequality moduli of smoothness Sharp maximal function Stein-Zygmund embedding |
| Resumo: | In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant of Bennett-DeVore-Sharpley's inequality for rearrangements. As a consequence, we improve the classical Stein-Zygmund embedding deriving B∞d/pLp,∞(Rd) → BMO(Rd) for 1 < p < ∞. Moreover, these results are also applied to establish new Fefferman-Stein inequalities, Calderón-Scott type inequalities, and extrapolation estimates. Our approach is based on the limiting interpolation techniques. © 2022 American Mathematical Society |
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