On regularity and irregularity of certain holomorphic singular integral operators

2019/01/10 by Loredana Lanzani, Elias M. Stein, Lanzani, Loredana +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1901.03402

openalex publication_date 2019/01/10 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

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≥ 2.

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