Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below
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Publication:5856104
DOI10.1080/17476933.2019.1691173zbMath1462.32007arXiv1804.07540OpenAlexW3102276812WikidataQ115549542 ScholiaQ115549542MaRDI QIDQ5856104
Gian Maria Dall'Ara, Franz Berger, Duong Ngoc Son
Publication date: 24 March 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07540
Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
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Cites Work
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- Szegő kernels and Poincaré series
- Essential spectra of tensor product Hilbert complexes and the \(\overline{\partial}\)-Neumann problem on product manifolds
- \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
- Pointwise estimates of weighted Bergman kernels in several complex variables
- Pointwise estimates for the Bergman kernel of the weighted Fock space
- La 1-forme de torsion d'une variété hermitienne compacte
- On the dependence of the reproducing kernel on the weight of integration
- On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
- Hilbert complexes
- Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
- The heat equation and harmonic maps of complete manifolds
- New estimates for the minimal \(L^{2}\) solution of \(\bar{\partial}\) and applications to geometric function theory in weighted Bergman spaces
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Holomorphic Morse inequalities and Bergman kernels
- A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform
- Discreteness of spectrum and positivity criteria for Schrödinger operators
- Exponential estimate for the asymptotics of Bergman kernels
- 𝐿^{𝑝} regularity of weighted Bergman projections
- Coercivity of weighted Kohn Laplacians: The case of model monomial weights in ℂ²
- $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator
- L² Approaches in Several Complex Variables
- Geometric Analysis of the Bergman Kernel and Metric
- The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
- Riemannian geometry
- Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel
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