Marcinkiewicz integral with rough kernels

Shanzhen Lu

Front. Math. China ›› 2007, Vol. 3 ›› Issue (1) : 1 -14.

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Front. Math. China ›› 2007, Vol. 3 ›› Issue (1) : 1 -14. DOI: 10.1007/s11464-008-0005-1
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Marcinkiewicz integral with rough kernels

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Abstract

In this summary paper, we will introduce some recent progress in the theory of Marcinkiewicz integral and will pay more attention to the case of rough kernels.

Keywords

Marcinkiewicz integral / rough kernel / commutator / Lp-boundedness / weighted Lp-boundedness / product space

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Shanzhen Lu. Marcinkiewicz integral with rough kernels. Front. Math. China, 2007, 3(1): 1-14 DOI:10.1007/s11464-008-0005-1

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