On regularity and irregularity of certain holomorphic singular integral operators

10 Jan 2019 Lanzani Loredana Stein Elias M.

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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