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On regularity and irregularity of certain holomorphic singular integral operators
classification
🧮 math.CV
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integralholomorphicoperatorssingularannounceassociatedboundedcauchy-leray
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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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