The Green functions for weighted biharmonic operators of the form \(\Delta\omega^{-1}\Delta\) in the unit disk
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Publication:1575974
DOI10.1007/BF02433445zbMath0949.31003MaRDI QIDQ1575974
Publication date: 24 August 2000
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Connections of harmonic functions with differential equations in two dimensions (31A35)
Related Items
A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc, Approximate spectral synthesis in the Bergman space, Regularity in a singular biharmonic Dirichlet problem
Cites Work
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- Single-point extremal functions in weighted Bergman spaces
- Contractive zero-divisors in Bergman spaces
- A computation of Green functions for the weighted biharmonic operators \(\Delta| z| ^{-2\alpha}\Delta\), with \(\alpha > -1\)
- 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.
