Local growth envelopes and optimal embeddings of generalized Sobolev spaces

DOI10.1134/S106456240605019XzbMath1142.46016MaRDI QIDQ2477500

Mikhail L. Goldman

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Estimates for continuity envelopes and approximation numbers of Bessel potentials

Cites Work

• A sharp inequality of J. Moser for higher order derivatives
• Sobolev type embeddings in the limiting case
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• A note on limiting cases of sobolev embeddings and convolution inequalities
• A sharp embedding theorem for Orlicz-Sobolev spaces

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