Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains [PDF]
, 2017 summary:On complete pseudoconvex Reinhardt domains in $\mathbb {C}^2$, we show that there is no nonzero Hankel operator with anti-holomorphic symbol that is Hilbert-Schmidt. In the proof, we explicitly use the pseudoconvexity property of the domain.
Yunus E.~Zeytuncu +3 more
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A probabilistic construction of the heat kernel for the øverline∂-Neumann problem on a strongly pseudoconvex Siegel domain [PDF]
, 1991 Naomasa Ueki
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Fredholm operators associated with strongly pseudoconvex domains in Cn
Journal of Functional Analysis, 1972 This paper generalizes the index theorem of Gohberg and Krien on Weiner-Hopf operators on the unit circle. Let Ω be a strongly pseudoconvex domain in Cn and suppose L2N(Ω) is the space of square integrable functions ƒ: Ω → CN. Let H2N(Ω) be the subspace of all ƒ ϵ L2N(Ω) which are holomorphic in Ω and let P: L2N(Ω) → H2N(Ω) be the orthogonal projection.
openaire +1 more source
Stein neighborhood bases of embedded strongly pseudoconvex domains and approximation of mappings [PDF]
, 2023 Tadej Starčič
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Biholomorphic mappings between weakly pseudoconvex domains
, 1978 Assume we have a biholomorphic mapping between weakly pseudoconvex domains. It is an old question whether this extends to a diffeomorphism between their closures.
John Erik Fornaess
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Weighted $L^p$ Estimates for the Bergman and Szegő Projections on Strongly Pseudoconvex Domains with Near Minimal Smoothness [PDF]
, 2020 Nathan A. Wagner, Brett D. Wick
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A parametrix for the ∂̄-Neumann problem on pseudoconvex domains of finite type
, 2004 We construct a parametrix for the ∂̄-Neumann problem on any pseudoconvex domain of finite type which reduces completely the study of (isotropic) Lp-Sobolev and Hölder estimates to those for ∂̄b and □b.
Koenig, Kenneth D
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HIGHER ORDER ASYMPTOTIC BEHAVIOR OF CERTAIN KÄHLER METRICS AND UNIFORMIZATION FOR STRONGLY PSEUDOCONVEX DOMAINS [PDF]
, 2015 Jae-Cheon Joo, Aeryeong Seo
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Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
, 2019 In this article, we present an explicit description of the boundary behavior of the holomorphic curvature of the Bergman metric of bounded strictly pseudoconvex polyhedral domains with piecewise C-2 smooth boundaries.
Kim, KT, Yu, JY
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Schatten class Hankel operators on the Bergman spaces of strongly pseudoconvex domains
, 1993 In this paper, we characterize holomorphic functions f f such that the Hankel operators H f ¯ {H_ ...
Huiping Li
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