Higher order Sobolev-type spaces on the real line

DOI10.1155/2014/261565zbMATH Open1326.46028OpenAlexW2129979829WikidataQ59057387 ScholiaQ59057387MaRDI QIDQ2256669

Thomas Zürcher, Juha Kinnunen, Bogdan Bojarski

Publication date: 20 February 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/261565

zbMATH Keywords

finite differenceSobolev function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Cites Work

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• Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded
• Advanced analysis on the real line
• Sobolev spaces on an arbitrary metric space
• Pointwise characterization of Sobolev classes
• Sobolev spaces and averaging I
• Pointwise inequalities for Sobolev functions revisited
• Sobolev spaces and Lagrange interpolation
• Whitney’s jets for Sobolev functions

Related Items (2)

A BMO-type characterization of higher order Sobolev spaces ⋮ Bogdan Bojarski in complex and real worlds

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