BOUNDEDNESS OF MULTIPLE MARCINKIEWICZ INTEGRAL OPERATORS WITH ROUGH KERNELS

Title & Authors
BOUNDEDNESS OF MULTIPLE MARCINKIEWICZ INTEGRAL OPERATORS WITH ROUGH KERNELS
Wu Huoxiong;

Abstract
This paper is concerned with giving some rather weak size conditions implying the $\small{L^P}$ boundedness of the multiple Marcin-kiewicz integrals for some fixed $1\;<\;p\;<\;{\infty}$, which essentially improve and extend some known results.
Keywords
Marcinkiewicz integrals;rough kernel;Littlewood-Paley theory;boundedness;
Language
English
Cited by
1.
Rough Marcinkiewicz integrals along certain smooth curves, Frontiers of Mathematics in China, 2012, 7, 5, 857
2.
On multiple singular integrals along polynomial curves with rough kernels, Acta Mathematica Sinica, English Series, 2008, 24, 2, 177
3.
Rough marcinkiewicz integrals associated to surfaces of revolution on product domains, Acta Mathematica Scientia, 2009, 29, 2, 294
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A note on the generalized Marcinkiewicz integral operators with rough kernels, Acta Mathematica Sinica, English Series, 2012, 28, 12, 2395
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Rough Marcinkiewicz integrals with mixed homogeneity on product spaces, Acta Mathematica Sinica, English Series, 2013, 29, 7, 1231
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On rough Marcinkiewicz integrals along surfaces, Acta Mathematica Sinica, English Series, 2010, 26, 4, 717
7.
On the boundedness for the multiple Littlewood–Paley functions with rough kernels, Journal of Mathematical Analysis and Applications, 2014, 410, 1, 403
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