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On regularity and irregularity of certain holomorphic singular integral operators

Published 10 Jan 2019 in math.CV | (1901.03402v1)

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 $\mathbb Cn$ with $n\geq 2$.

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