Estimates for the polyharmonic Bergman kernel and their applications

DOI10.1007/s11785-018-0875-5OpenAlexW2903473054MaRDI QIDQ2007936

Kiyoki Tanaka

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0875-5

zbMATH Keywords

reproducing kernelGleason problemweighted \(m\)-polyharmonic Bergman space

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral operators (47G10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

The polyharmonic Bergman space for the union of rotated unit balls

Cites Work

• True poly-Bergman and poly-Bergman kernels for the complement of a closed disk
• Projections for harmonic Bergman spaces and applications
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
• On the structure of spaces of polyanalytic functions
• Commutative algebras of Toeplitz operators on the Bergman space
• Harmonic Function Theory
• On the structure of polyharmonic Bergman-type spaces over the unit disk
• Lipschitz Type Characterizations for Bergman Spaces
• Biharmonic Bergman space and its reproducing kernel
• Derivatives of harmonic Bergman and Bloch functions on the ball
• Unnamed Item
• Unnamed Item
• Unnamed Item