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

DOI10.1007/s11118-015-9474-5zbMath1335.31004OpenAlexW1000904761MaRDI QIDQ905618

Alexander V. Tovstolis

Publication date: 27 January 2016

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

Full work available at URL: https://doi.org/10.1007/s11118-015-9474-5

zbMATH Keywords

polyharmonic functionRiesz decomposition

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Cites Work

• A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\)
• Riesz extremal measures on the sphere for axis-supported external fields
• Representation and uniqueness theorems for polyharmonic functions
• Spherical means and Riesz decomposition for superbiharmonic functions
• Notions of convexity
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