Article
A Bp condition for the strong maximal function
Author/s | Liu, Liguang
Luque Martínez, Teresa |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2014-11 |
Deposit Date | 2016-11-30 |
Published in |
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Abstract | A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two ... A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two weight inequalities of the strong maximal function in terms of power and logarithmic bumps. Results for the multilinear version of this operator and for others multi(sub)linear maximal functions associated with bases of open sets are also studied. |
Funding agencies | National Natural Science Foundation of China Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | 11101425
BES-2010-030264 |
Citation | Liu, L. y Luque Martínez, T.E. (2014). A Bp condition for the strong maximal function. Transactions of the American Mathematical Society, 366 (11), 5707-5726. |
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