Weighted Bergman projections and kernels: $L^{p}$ regularity and zeros
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Publication:3005622
DOI10.1090/S0002-9939-2010-10795-5zbMath1237.30019arXiv1009.2806OpenAlexW2963871258MaRDI QIDQ3005622
Publication date: 9 June 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2806
Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Bergman spaces and Fock spaces (30H20)
Related Items
Vanishing Bergman kernels on the disk ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ Berezin transform and Toeplitz operators on Bergman spaces induced by regular weights ⋮ Estimates for weighted Bergman projections on pseudo-convex domains of finite type in ℂn ⋮ A generalization of the Forelli-Rudin construction and deflation identities ⋮ 𝐿^{𝑝} regularity of weighted Bergman projections ⋮ Trace class criteria for Toeplitz and composition operators on small Bergman spaces
Cites Work
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- 𝐿^{𝑝} regularity of weighted Bergman projections
- On the Forelli-Rudin construction and weighted Bergman projections
- The Bergman kernel function: Explicit formulas and zeroes
- Fractional integration, differentiation, and weighted Bergman spaces
- The Lu Qi-Keng conjecture fails generically
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