Vanishing Bergman kernels on the disk

DOI10.1007/s12220-017-9885-1zbMath1404.30064arXiv1703.05976OpenAlexW2613222539MaRDI QIDQ1651387

Antti Perälä

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05976

zbMATH Keywords

Bergman spaceBergman kernelradial weight

Mathematics Subject Classification ID

Bergman spaces and Fock spaces (30H20)

Related Items

Volterra-type integration operators between weighted Bergman spaces and Hardy spaces ⋮ Hankel operators induced by radial Bekollé-Bonami weights on Bergman spaces ⋮ Co-isometric weighted composition operators on Hilbert spaces of analytic functions ⋮ Equivalent Bergman spaces with inequivalent weights ⋮ Bergman projection induced by radial weight

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On sharp constants for dual Segal-Bargmann \(L^p\) spaces
• Two weight inequality for Bergman projection
• Hankel forms and the Fock space
• An off-diagonal estimate of Bergman kernels
• Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights
• Extremal functions in invariant subspaces of Bergman spaces
• Analysis on Fock Spaces
• Weighted Bergman spaces induced by rapidly incresing weights
• Weighted Bergman projections and kernels: $L^{p}$ regularity and zeros
• The Bergman kernel function: Explicit formulas and zeroes
• Asymptotic behaviour of reproducing kernels of weighted Bergman spaces
• A sharp estimate for extremal functions
• A Sharp Estimate for A p α Functions in C n
• The Lu Qi-Keng conjecture fails generically
• Duality of weighted Bergman spaces with small exponents
• Theory of Reproducing Kernels

This page was built for publication: Vanishing Bergman kernels on the disk