A note on L2-boundary integrals of the Bergman kernel
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Publication:4611224
DOI10.1142/S0129167X18710015zbMath1417.32004arXiv1803.09393MaRDI QIDQ4611224
Publication date: 17 January 2019
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09393
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
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Cites Work
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- Suita conjecture and the Ohsawa-Takegoshi extension theorem
- The reproducing kernels and the finite type conditions
- Comparison of the Bergman and Szegö kernels
- Toeplitz operators and Carleson measures in strongly pseudoconvex domains
- Special Toeplitz operators on strongly pseudoconvex domains
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries
- Differentiability of the Bergman kernel and pseudo-local estimates
- Estimates of invariant metrics on pseudoconvex domains of dimension two
- Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
- BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains
- Lower bounds on the Bergman metric near a point of finite type
- Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
- The Bergman metric on hyperconvex domains
- Mapping properties of the Bergman projection on convex domains of finite type
- Estimates on the Bergman kernels of convex domains
- Quantitative estimates for the Green function and an application to the Bergman metric
- On Bergman completeness of pseudoconvex Reinhardt domains
- A Sobolev mapping property of the Bergman kernel
- Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes
- The \(\overline\partial\)-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions
- Bergman kernel and hyperconvexity index
- Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\)
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Parameter dependence of the Bergman kernels
- Bergman-Toeplitz operators on weakly pseudoconvex domains
- The Convexity of a Domain and the Superharmonicity of the Signed Distance Function
- ESTIMATES OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS WITH COMPARABLE LEVI FORM
- Bergman–Toeplitz operators on fat Hartogs triangles
- The Bergman metric and the pluricomplex Green function
- A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L2-estimates for the ∂-operator
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
