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arXiv · 1901.03402

On regularity and irregularity of certain holomorphic singular integral operators

Loredana Lanzani·Elias M. Stein
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Abstract

We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy-Leray integral and the Cauchy-Szeg\H o projection associated to various classes of bounded domains in $\mathbb C^n$ with $n\geq 2$.

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Loredana Lanzani, Elias M. Stein. 2019-01-10. On regularity and irregularity of certain holomorphic singular integral operators. https://arxiv.org/abs/1901.03402

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