Operator properties of Sobolev imbeddings over unbounded domains

DOI10.1016/0022-1236(77)90004-0zbMath0341.46023OpenAlexW2045169428MaRDI QIDQ1231653

Hermann Koenig

Publication date: 1977

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90004-0

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Linear spaces of operators (47L05)

Related Items (8)

Compact embeddings for weighted Orlicz-Sobolov spaces on \({\mathbb R}^ N\) ⋮ Embeddings of anisotropic Sobolev spaces on unbounded domains ⋮ Eigenvalues of integral operators. II ⋮ Subradial functions and compact embeddings ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators ⋮ Convergence of operator semigroups associated with generalised elliptic forms ⋮ Approximation numbers of Sobolev imbeddings over unbounded domains ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II.

Cites Work

• Grenzordnungen von Operatoren-Idealen. I
• An embedding theorem for function spaces
• Reproduzierende Kerne und nukleare Räume. II
• The Rellich-Kondrachov theorem for unbounded domains
• Zum Einbettungssatz von Rellich bei Sobolevräumen
• Compact Sobolev imbeddings for unbounded domains with discrete boundaries
• Compact imbeddings of weighted Sobolev spaces on unbounded domains
• The Hilbert-Schmidt Property for Embedding Maps between Sobolev Spaces
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Rellich′s Embedding Theorem for a “Spiny Urchin”
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
• Some Imbedding Theorems for Sobolev Spaces
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