scientific article; zbMATH DE number 1887450
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Publication:4799683
zbMath1009.31001MaRDI QIDQ4799683
Publication date: 25 March 2003
Full work available at URL: https://eudml.org/doc/122513
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
bi-Laplacianintegral representation formula for super-biharmonic functionsPoisson-Jensen representation formula for subharmonic functions
Periodic solutions to PDEs (35B10) Maximum principles in context of PDEs (35B50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
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Norm approximation by polynomials in some weighted Bergman spaces ⋮ Poisson integrals for standard weighted Laplacians in the unit disc ⋮ Density of polynomials in certain weighted Dirichlet type spaces ⋮ Generalized harmonic functions and Schwarz lemma for biharmonic mappings ⋮ Riesz-Martin representation for positive super-polyharmonic functions in a Riemannian manifold ⋮ Weighted integrability of polyharmonic functions ⋮ A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\) ⋮ Mean approximation by dilatations in Bergman spaces on the upper half-plane ⋮ Differential operators for a scale of Poisson type kernels in the unit disc ⋮ On the uniqueness theorem of Holmgren ⋮ Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings ⋮ Weighted Bergman spaces induced by rapidly incresing weights ⋮ Approximation in weighted analytic Besov spaces and in generalized Fock spaces ⋮ An expansive multiplier property for operator-valued Bergman inner functions ⋮ Biharmonic Green functions on homogeneous trees ⋮ Application of a Riesz-type formula to weighted Bergman spaces
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