An integral formula in weighted Bergman spaces

DOI10.1007/BF03321767zbMath1198.30052MaRDI QIDQ977098

Rachel J. Weir

Publication date: 17 June 2010

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceinner functionextremal functionbiharmonic Green functioncontractive divisorexpansive multiplier

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

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• Differential equations for the magnetic confinement of a plasma
• Invariant subspaces in Bergman spaces and the biharmonic equation
• Beurling's theorem for the Bergman space
• The Green function for the weighted biharmonic operator \(\Delta(1-| z|^2)^{-\alpha}\Delta\), and factorization of analytic functions
• Construction of Green functions for weighted biharmonic operators.
• A factorization theorem for square area-integrable analytic functions.
• On the failure of optimal factorization for certain weighted bergman spaces

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