Functions from Sobolev and Besov spaces with maximal Hausdorff dimension of the exceptional Lebesgue set

DOI10.1007/s10958-015-2488-0zbMath1341.31003OpenAlexW1198383563MaRDI QIDQ267598

M. A. Prokhorovich, V. G. Krotov

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2488-0

zbMATH Keywords

Sobolev spacescapacityHausdorff dimensionBesov spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Theory of function spaces
• Estimates for the Exceptional Lebesgue Sets of Functions from Sobolev Classes
• Pointwise Differentiability and Absolute Continuity
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