Article
The multilinear strong maximal function
Author/s | Grafakos, Loukas
Liu, Liguang Pérez Moreno, Carlos Torres, Rodolfo H. |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011-01 |
Deposit Date | 2016-06-15 |
Published in |
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Abstract | A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen,
Marcinkiewicz, and Zygmund theorem is obtained. Conditions that ... A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear maximal functions associated with bases of open sets are studied too. Bilinear interpolation results between distributional estimates, such as those satisfied by the multivariable strong maximal function, are also proved. |
Project ID. | DMS 0900946
![]() MTM2009-08934 ![]() DMS 0800492 ![]() |
Citation | Grafakos, L., Liu, L., Pérez Moreno, C. y Torres, R.H. (2011). The multilinear strong maximal function. Journal of Geometric Analysis, 21 (1), 118-149. |
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