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Growth properties of hyperplane integrals of Sobolev functions in a half space

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Publication:5956127
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zbMath0987.31002MaRDI QIDQ5956127

Tetsu Shimomura

Publication date: 16 June 2002

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemSobolev spacespolyharmonic equation


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)


Related Items (3)

Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces ⋮ Growth properties of potentials in central Morrey–Orlicz spaces on the unit ball ⋮ Boundary growth of generalized Riesz potentials on the unit ball in the variable settings







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