$L^p$ mapping properties of the Bergman projection on the Hartogs triangle
From MaRDI portal
Publication:2790271
DOI10.1090/proc/12820zbMath1341.32006arXiv1410.1105OpenAlexW1819075086MaRDI QIDQ2790271
Yunus E. Zeytuncu, Debraj Chakrabarti
Publication date: 3 March 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1105
Related Items
The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain ⋮ Special Toeplitz operators on elementary Reinhardt domains ⋮ A survey of the \(L^p\) regularity of the Bergman projection ⋮ Duality and approximation of Bergman spaces ⋮ The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains ⋮ Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ Weighted Bergman projections on the Hartogs triangle ⋮ Bergman–Toeplitz operators on fat Hartogs triangles ⋮ Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle ⋮ -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 ⋮ \(L^p\)-norm estimate of the Bergman projection on Hartogs triangle ⋮ Special Toeplitz operators on a class of bounded Hartogs domains ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ Holomorphic function spaces on the Hartogs triangle ⋮ Bergman kernels of elementary Reinhardt domains ⋮ Unnamed Item ⋮ A sufficient condition for Lp regularity of the Berezin transform ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ Special Toeplitz operators on \(n\)-dimensional generalized Hartogs triangles ⋮ Sobolev regularity of the canonical solutions to \(\bar{\partial}\) on product domains ⋮ Sobolev mapping of the Bergman projections on generalized Hartogs triangles ⋮ Bergman projection on the symmetrized bidisk ⋮ 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 ⋮ REGULARITY OF THE WEIGHTED BERGMAN PROJECTION ON THE FOCK–BARGMANN–HARTOGS DOMAIN ⋮ $L^p$ estimates for the Bergman projection on some Reinhardt domains ⋮ Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates ⋮ Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle ⋮ Unnamed Item ⋮ Sobolev mapping of some holomorphic projections ⋮ Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes ⋮ Lp boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles ⋮ The Bergman projection on fat Hartogs triangles: $L^p$ boundedness ⋮ A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates ⋮ Harmonic Bergman theory on punctured domains ⋮ Mapping properties of the Bergman projections on elementary Reinhardt domains ⋮ On an observation of Sibony ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators ⋮ Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle ⋮ \(L^p\) 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
- The Bergman projection in \(L^{p}\) for domains with minimal smoothness
- Duality of Bloch spaces and norm convergence of Taylor series
- Régularité höldérienne de l'opérateur \(\bar\partial\) sur le triangle de Hartogs. (Hölder regularity of the \(\bar\partial\) operator on the Hartogs triangle.)
- Analysis and geometry on worm domains
- Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
- Proper holomorphic mappings and the Bergman projection
- \(\mathcal C^{k+\alpha}\)-estimates for the \(\bar \partial\)-equation on the Hartogs triangle
- Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
- Mapping properties of the Bergman projection on convex domains of finite type
- Irregularity of the Bergman projection on worm domains in \(\mathbb C^{n}\)
- Sobolev regularity of the \(\overline\partial\)-equation on the Hartogs triangle
- The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains
- 𝐿^{𝑝} regularity of weighted Bergman projections
- Classical Fourier Analysis
- Lp -estimates for the Bergman projection on strictly pseudoconvex nonsmooth domains