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On modular inequalities in variable L p spaces |
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| Authors: | Andrei K Lerner |
| Institution: | (1) Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel |
| Abstract: | We show that the Hardy-Littlewood maximal operator and a class of Calderón-Zygmund singular integrals satisfy the strong type modular inequality in variable Lp spaces if and only if the variable exponent p(x) ∼ const. Received: 15 September 2004 |
| Keywords: | Primary 42B20 42B25 |
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