The Green function for the weighted biharmonic operator \(\Delta(1-| z|^2)^{-\alpha}\Delta\), and factorization of analytic functions
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Publication:1376857
DOI10.1007/BF02355831zbMath0909.31004OpenAlexW2321890117MaRDI QIDQ1376857
Publication date: 1 October 1998
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/68574
Entire functions of one complex variable (general theory) (30D20) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (5)
THE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES ⋮ Construction of Green functions for weighted biharmonic operators. ⋮ An integral formula in weighted Bergman spaces ⋮ Extremal functions in weighted Bergman spaces ⋮ The Green functions for weighted biharmonic operators of the form \(\Delta\omega^{-1}\Delta\) in the unit disk
Cites Work
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- Contractive zero-divisors in Bergman spaces
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- A partial differential equation arising in conformal mapping
- On generation of solutions of the biharmonic equation in the plane by conformal mappings
- Remark on the preceding paper of Charles Loewner
- A factorization theorem for square area-integrable analytic functions.
- On the failure of optimal factorization for certain weighted bergman spaces
- On a Question of Hadamard Concerning Super‐Biharmonic Functions
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