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Lp bounds for singular integrals with rough kernels on product domains

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou, 341000, P. R. China

    Li Ma

  2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Da Shan Fan

  3. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China

    Huo Xiong Wu

Authors
  1. Li Ma
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  2. Da Shan Fan
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  3. Huo Xiong Wu
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Corresponding author

Correspondence to Huo Xiong Wu.

Additional information

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)

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Ma, L., Fan, D.S. & Wu, H.X. Lp bounds for singular integrals with rough kernels on product domains. Acta. Math. Sin.-English Ser. 28, 133–144 (2012). https://doi.org/10.1007/s10114-012-9368-z

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  • DOI: https://doi.org/10.1007/s10114-012-9368-z

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