A NEW BIHARMONIC KERNEL FOR THE UPPER HALF PLANE

DOI10.4134/JKMS.2006.43.6.1169zbMath1118.31001OpenAlexW2112981620MaRDI QIDQ3420192

Ali Abkar

Publication date: 1 February 2007

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2006.43.6.1169

zbMATH Keywords

Fatou's theorembiharmonic Poisson kernel

Mathematics Subject Classification ID

Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Kernel functions in one complex variable and applications (30C40) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (3)

Taylor series of biharmonic Poisson integral for upper half-plane ⋮ Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk ⋮ Biharmonic Green functions on homogeneous trees

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