Two-weighted estimations for the Hardy-Littlewood maximal function in ideal Banach spaces |
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Authors: | E I Berezhnoi |
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Institution: | Faculty of Mathematics, Yaroslavl State University, ul Sovietskaya 14, 150 000 Yaroslavl, Russia |
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Abstract: | We give conditions on a couple of ideal Banach spaces with weights which are both necessary and sufficient for the Hardy-Littlewood maximal function to satisfy the two-weighted estimations of weak type, and we consider a modification of the Hardy-Littlewood maximal function. We also give some conditions on weights in order for the Hardy-Littlewood maximal function and the modification under consideration to fulfil the two-weighted estimations of strong type. |
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