Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes
From MaRDI portal
Publication:1747525
DOI10.1007/s12220-017-9777-4zbMath1398.32039arXiv1605.06223OpenAlexW2397760250MaRDI QIDQ1747525
Luke D. Edholm, Jeffery D. Mcneal
Publication date: 8 May 2018
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06223
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Related Items
Special Toeplitz operators on elementary Reinhardt domains ⋮ A survey of the \(L^p\) regularity of the Bergman projection ⋮ Duality and approximation of Bergman spaces ⋮ Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ Bergman–Toeplitz operators on fat Hartogs triangles ⋮ -regularity of the Bergman projection on quotient domains ⋮ \(L^p\) regularity of the Bergman projection on domains covered by the polydisc ⋮ Hardy spaces for a class of singular domains ⋮ Special Toeplitz operators on a class of bounded Hartogs domains ⋮ Around \(L^1\)(un)boundedness of Bergman and Szegö projections ⋮ Holomorphic function spaces on the Hartogs triangle ⋮ Bergman kernels of elementary Reinhardt domains ⋮ Unnamed Item ⋮ Special Toeplitz operators on \(n\)-dimensional generalized Hartogs triangles ⋮ Sobolev mapping of the Bergman projections on generalized Hartogs triangles ⋮ Products of Toeplitz and Hankel operators on the Bergman spaces of generalized Hartogs triangles ⋮ Weighted estimates for the Bergman projection on the Hartogs triangle ⋮ Weak-type regularity of the Bergman projection on \(n\)-dimensional Hartogs triangles ⋮ Smoothing properties of the Friedrichs operator on Lp spaces ⋮ $L^p$ estimates for the Bergman projection on some Reinhardt domains ⋮ A note on L2-boundary integrals of the Bergman kernel ⋮ Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle ⋮ Unnamed Item ⋮ Sobolev mapping of some holomorphic projections ⋮ Lp boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles ⋮ On smoothing properties of the Bergman projection ⋮ Bergman spaces under maps of monomial type ⋮ A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates ⋮ Norm convergence of partial sums of H1 functions ⋮ Mapping properties of the Bergman projections on elementary Reinhardt domains ⋮ A remark on Carleson measures of domains in ℂⁿ ⋮ Carleson measures on the generalized Hartogs triangles ⋮ Nonabelian ramified coverings and \(L^p\)-boundedness of Bergman projections in \({\mathbb{C}}^2\) ⋮ \(L^p\) regularity of Toeplitz operators on generalized Hartogs triangles ⋮ Weak-type regularity of the Bergman projection on rational Hartogs triangles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bergman theory of certain generalized Hartogs triangles
- The Bergman projection in \(L^{p}\) for domains with minimal smoothness
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
- Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
- Pseudoconvex domains: An example with nontrivial nebenhuelle
- Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
- The Bergman projection as a singular integral operator
- Mapping properties of the Bergman projection on convex domains of finite type
- Szegö and Bergman projections on non-smooth planar domains
- On Bergman completeness of pseudoconvex Reinhardt domains
- Irregularity of the Bergman projection on worm domains in \(\mathbb C^{n}\)
- First steps in several complex variables: Reinhardt domains
- $L^p$ mapping properties of the Bergman projection on the Hartogs triangle
- The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
- 𝐿^{𝑝} regularity of weighted Bergman projections
- The Bergman kernel and projection on non-smooth worm domains
- The Bergman Kernel Function and Propert Holomorphic Mappings
- Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
- Spaces of Holomorphic Functions in the Unit Ball
- Several Complex Variables and the Geometry of Real Hypersurfaces
- The Lu Qi-Keng conjecture fails generically