Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
type: Item
instance of: scholarly article
title: Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
zbMATH Open document ID: 0504.32016
DOI: 10.1016/0001-8708(82)90028-7
published in: Advances in Mathematics
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 32F45
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 32T99
Mathematics Subject Classification ID: 35N15
zbMATH DE Number: 3794456
zbMATH Keywords: d-bar equation
zbMATH Keywords: stability of solutions of delta Neumann problem
zbMATH Keywords: Bergman metric
zbMATH Keywords: strongly pseudoconvex domains
zbMATH Keywords: d-bar-problem
zbMATH Keywords: Fefferman expansion of Bergman kernel
Wikidata QID: Q56852345
author: Robert E. Greene
author: Steven G. Krantz
MaRDI profile type: Publication
full work available at URL: 0001-8708(82)90028-7
OpenAlex ID: W2075642049
cites work: Q5618082
cites work: Equivalent Norms for Sobolev Spaces
cites work: Biholomorphic mappings and the \(\overline\partial\)-problem
cites work: A simplification and extension of Fefferman's theorem on biholomorphic mappings
cites work: Q5610508
cites work: Q4111841
cites work: On the automorphisms of circular and Reinhardt domains in complex Banach spaces
cites work: Deformations of strictly pseudoconvex domains
cites work: On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
cites work: Interior estimates for elliptic systems of partial differential equations
cites work: Visibility manifolds
cites work: Q5605734
cites work: The Bergman kernel and biholomorphic mappings of pseudoconvex domains
cites work: An action of a finite group on an 𝑛-cell without stationary points
cites work: The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
cites work: Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
cites work: Q5523871
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
cites work: Q3948282
cites work: Invariants of Bergman geometry and the automorphism groups of domains in \({\mathbb{C}^n}\)
cites work: The automorphism groups of strongly pseudoconvex domains
cites work: Function theory on manifolds which possess a pole
cites work: Q4125200
cites work: Manifolds of negative curvature
cites work: How to conjugate C\(^1\)-close group actions
cites work: Deformation of complex structures on manifolds with boundary. I: The stable case
cites work: INTEGRAL REPRESENTATION OF FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS AND APPLICATIONS TO THE $ \overline{\partial}$-PROBLEM
cites work: EXACT HÖLDER ESTIMATES FOR THE SOLUTIONS OF THE $ \bar\partial$-EQUATION
cites work: Global integral formulas for solving the $\bar ∂$-equation on Stein manifolds
cites work: Differential Topology
cites work: \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
cites work: Remarks on Differentiable Actions of Non-Compact Semi-Simple Lie Groups on Euclidean Spaces
cites work: A Deformation Theorem for the Kobayashi Metric
cites work: Hölder and Lp estimates for solutions of ∂u = f in strongly pseudoconvex domains
cites work: The Szegö kernel in terms of Cauchy-Fantappie kernels
cites work: Q3855797
cites work: Geometry of Bounded Domains
cites work: Q5565587
cites work: Harmonic integrals on strongly pseudo-convex manifolds. II
cites work: Sufficient conditions for subellipticity on weakly pseudo-convex domains
cites work: Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
cites work: Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains
cites work: Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation
cites work: Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations
cites work: Comparison theorems for compact symmetric spaces
cites work: A compact Kähler surface of negative curvature not covered by the ball
cites work: Q3293867
cites work: Q5628476
cites work: Q4064526
cites work: Seminar on Atiyah-Singer Index Theorem. (AM-57)
cites work: Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
cites work: Q3958740
cites work: The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
cites work: Q5607484

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