Cauchy-type integrals in several complex variables
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Publication:2844610
DOI10.1007/s13373-013-0038-yzbMath1277.32002arXiv1311.5175OpenAlexW3103574815WikidataQ59304736 ScholiaQ59304736MaRDI QIDQ2844610
Elias M. Stein, Loredana Lanzani
Publication date: 29 August 2013
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5175
Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
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Cites Work
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- The Bergman projection in \(L^{p}\) for domains with minimal smoothness
- The spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\)
- Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
- Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
- Behavior of the Bergman projection on the Diederich-Fornæss worm
- The Szegö kernel in terms of Cauchy-Fantappie kernels
- Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- Mapping properties of the Bergman projection on convex domains of finite type
- Estimates on the Bergman kernels of convex domains
- The Szegö projection on convex domains
- The dual of a Bergman space on simply connected domains.
- Szegö and Bergman projections on non-smooth planar domains
- On Hardy spaces in complex ellipsoids
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Complex convexity and analytic functionals
- Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
- 𝐿^{𝑝} regularity of weighted Bergman projections
- Opérateurs intégraux singuliers sur certaines courbes du plan complexe
- Lp -estimates for the Bergman projection on strictly pseudoconvex nonsmooth domains
- The Bergman kernel and projection on non-smooth worm domains
- The Hölder continuity of the Bergman projection and proper holomorphic mappings
- INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Notions of convexity