Weighted Lp-inequalities for multi-parameter Riesz type potentials and strong fractional maximal operators

被引:0
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作者
Tord Sjödin
机构
[1] University of Umeå,Department of Mathematics and Mathematical Statistics
来源
Mathematische Annalen | 2007年 / 337卷
关键词
Primary 31 B 15; Secondary 46 E 35; Secondary 42 B 25;
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摘要
We prove weighted Lp-inequalities for multi-parameter Riesz type potentials, strong fractional maximal operators and their dyadic counterparts. Our proofs avoid the Good-λ inequalities used earlier in the Rm-case and are based on our integrated multi-parameter summation by parts lemma, that might be of independent interest.
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页码:317 / 333
页数:16
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