Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2006; 43(3): 635-658
Printed May 1, 2006
Copyright © The Korean Mathematical Society.
Boundedness of multiple Marcinkiewicz integral operators with rough kernels
Huoxiong Wu
Xiamen University
This paper is concerned with giving some rather weak size conditions implying the $L^p$ boundedness of the multiple Marcin-kiewicz integrals for some fixed $1< p < \infty$, which essentially improve and extend some known results.
Keywords: Marcinkiewicz integral, rough kernel, Littlewood-Paley theory, boundedness
MSC numbers: 42B20, 42B25, 42B99
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