Construction of Green functions for weighted biharmonic operators.

DOI10.1016/J.JMAA.2003.09.043zbMath1087.35004OpenAlexW2081998365MaRDI QIDQ1419719

Rachel J. Weir

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.043

zbMATH Keywords

Bergman space

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Fundamental solutions to PDEs (35A08) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (2)

A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc ⋮ An integral formula in weighted Bergman spaces

Cites Work

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• Contractive zero-divisors in Bergman spaces
• Invariant subspaces in Bergman spaces and the biharmonic equation
• The Green function for the weighted biharmonic operator \(\Delta(1-| z|^2)^{-\alpha}\Delta\), and factorization of analytic functions
• A factorization theorem for square area-integrable analytic functions.
• On the failure of optimal factorization for certain weighted bergman spaces

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