Function spaces of Lizorkin-Triebel type on an irregular domain

DOI10.1134/S0081543808010033zbMath1233.46002MaRDI QIDQ5894528

O. V. Besov

Publication date: 8 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

Another note on the embedding of the Sobolev space for the limiting exponent ⋮ A note on function spaces in rough domains ⋮ Spaces of functions of positive smoothness on irregular domains ⋮ Spaces of functions of positive smoothness on irregular domains ⋮ Spaces of functions of fractional smoothness on an irregular domain ⋮ Integral estimates for differentiable functions on irregular domains ⋮ Spaces of functions of fractional smoothness on an irregular domain ⋮ Embeddings of weighted spaces of functions of positive smoothness on irregular domains in Lebesgue space ⋮ Function spaces of Lizorkin-Triebel type on an irregular domain ⋮ Embedding of Sobolev spaces with limit exponent revisited ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains in Lebesgue spaces ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains ⋮ Embeddings of spaces of functions of positive smoothness on irregular domains

Cites Work

• Sobolev inequalities on sets with irregular boundaries
• Spaces of functions of fractional smoothness on an irregular domain.
• Sobolev's embedding theorem for a domain with irregular boundary
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