A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\)

DOI10.1007/S11118-010-9183-ZzbMath1210.31003OpenAlexW1985712586MaRDI QIDQ618789

Yoshihiro Mizuta, Keiji Kitaura, Toshihide Futamura

Publication date: 17 January 2011

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-010-9183-z

zbMATH Keywords

capacityLaplacianspherical meansRiesz decompositionsuper-polyharmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (1)

On Riesz decomposition for super-polyharmonic functions in \({\mathbb R}^{n}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation and uniqueness theorems for polyharmonic functions
• An integral representation and fine limits at infinity for functions whose Laplacians iterated \(m\) times are measures
• Isolated singularities of super-polyharmonic functions
• Subharmonic functions of order less than one
• Normal families
• Spherical means and Riesz decomposition for superbiharmonic functions
• Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions
• Harmonic Function Theory
• The Size of the Set on Which a Meromorphic Function is Large

This page was built for publication: A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\)