The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness

DOI10.1016/j.aim.2014.07.016zbMath1317.32007arXiv1311.5167OpenAlexW2094298703MaRDI QIDQ401004

Loredana Lanzani, Elias M. Stein

Publication date: 26 August 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5167

zbMATH Keywords

Szegő projection\(L^p(b\mathcal D)\)-regularityCauchy-Leray integrallinearly convex domainsstrongly pseudo-convex domains

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness ⋮ Constructive description of Hardy-Sobolev spaces on strongly convex domains in \(\mathbb{C}^n\) ⋮ BOUNDEDNESS AND COMPACTNESS OF CAUCHY-TYPE INTEGRAL COMMUTATOR ON WEIGHTED MORREY SPACES ⋮ Irregularity of the Bergman projection on smooth unbounded worm domains ⋮ Volume approximation of strongly \(\mathbb{C} \)-convex domains by random polyhedra ⋮ Cauchy-Fantappiè integral formula for holomorphic functions on special tube domains in \(\mathbb{C}^2\) ⋮ ON HÖLDER ESTIMATES FOR CAUCHY TRANSFORMS ON CONVEX DOMAINS IN ℂ 2 ⋮ Weighted \(L^p\) estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness ⋮ External area integral inequality for the Cauchy-Leray-Fantappiè integral ⋮ The role of an integration identity in the analysis of the Cauchy-Leray transform ⋮ The spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\) ⋮ Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness ⋮ Regularity of a \(\overline{\partial}\)-solution operator for strongly \(\mathbf{C}\)-linearly convex domains with minimal smoothness ⋮ The Leray transform: factorization, dual \textit{CR} structures, and model hypersurfaces in \(\mathbb{CP}^2\) ⋮ Constructive description of Hardy-Sobolev spaces on strictly pseudoconvex domains ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

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