On the existence of polyharmonic functions in Lebesgue classes

DOI10.3792/pjaa.62.300zbMath0619.31003OpenAlexW2032219403MaRDI QIDQ1089470

Yoshihiro Mizuta

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.300

zbMATH Keywords

extensionLebesgue classpolyharmonic functionsBessel capacity

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the existence of limits along lines of Beppo Levi functions
• Removable sets of analytic functions satisfying a Lipschitz condition
• On removable singularities for polyharmonic distributions
• Removable singularities of solutions of linear partial differential equations
• Les espaces du type de Beppo Levi
• USE OF (p,l)-CAPACITY IN PROBLEMS OF THE THEORY OF EXCEPTIONAL SETS
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• A Notion of Capacity Which Characterizes Removable Singularities
• The Equivalence of Two Definitions of Capacity

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