Hankel operators on domains with bounded intrinsic geometry
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Publication:2698527
DOI10.1007/S12220-023-01231-YOpenAlexW3171573428MaRDI QIDQ2698527
Publication date: 24 April 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.15011
Invariant metrics and pseudodistances in several complex variables (32F45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Kähler manifolds (32Q15) Global Riemannian geometry, including pinching (53C20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Bergman spaces of functions in several complex variables (32A36)
Cites Work
- Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
- Boundary behavior of holomorphic functions on pseudoconvex domains
- BMO in the Bergman metric on bounded symmetric domains
- BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains
- Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
- Hankel operators on the Bergman spaces of strongly pseudoconvex domains
- \(L_ 2\) cohomology of pseudoconvex domains with complete Kähler metric
- \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
- Ricci flow and the uniformization on complete noncompact Kähler manifolds
- Invariant metric estimates for \(\overline\partial\) on some pseudoconvex domains
- Compactness of the \(\overline{\partial} \)-Neumann problem on domains with bounded intrinsic geometry
- Some isoperimetric inequalities and eigenvalue estimates
- $BMO$ on Strongly Pseudoconvex Domains: Hankel Operators, Duality and $\overline{\partial}$-Estimates
- Convex domains, Hankel operators, and maximal estimates
- Invariant metrics on negatively pinched complete Kähler manifolds
- $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator
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