Bessel capacities and rectangular differentiation in Besov spaces

DOI10.1016/j.jmaa.2005.12.071zbMath1103.42012OpenAlexW2065508877MaRDI QIDQ852799

Virginia Naibo

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.071

zbMATH Keywords

Besov spacesdifferentiationmaximal functionsBessel capacities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items

Differentiation of Besov spaces and the Nikodym maximal operator

Cites Work

• Rectangular differentiation of integrals of Besov functions.
• Strong type estimates for homogeneous Besov capacities
• Strong Differentiability of Lipschitz Functions
• Differentiation of integrals by bases without the density property
• Maximal Operators and Capacity
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
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