Biharmonic Bergman space and its reproducing kernel

DOI10.1080/17476933.2017.1403424zbMath1400.31007OpenAlexW2771754280MaRDI QIDQ5375982

Kiyoki Tanaka

Publication date: 17 September 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1403424

zbMATH Keywords

reproducing kernelweighted harmonic Bergman spaceweighted biharmonic Bergman space

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Estimates for the polyharmonic Bergman kernel and their applications ⋮ The polyharmonic Bergman space for the union of rotated unit balls ⋮ Function spaces induced by two parabolic Bloch spaces

Cites Work

• True poly-Bergman and poly-Bergman kernels for the complement of a closed disk
• The harmonic Bergman kernels for punctured domains
• Removable singularity of the polyharmonic equation
• Toeplitz operators on harmonic Bergman spaces
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• On the structure of polyharmonic Bergman-type spaces over the unit disk
• A generalization of Bôcher's theorem for polyharmonic functions
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