, Volume 28, Issue 1, pp 133-144
Date: 13 Dec 2011

L p bounds for singular integrals with rough kernels on product domains

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This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L p -boundedness of such operators for certain fixed p (1 < p < ∞), are given.

Supported by National Natural Science Foundation of China (Grant Nos. 10771054, 10961003, 11071200) and Natural Science Foundation of Fujian Province of China (Grant No. 2010J01013)