Lacunary differentiability of functions in \({\mathbb{R}}^ n\)

DOI10.1016/0021-9045(84)90024-8zbMath0535.46022OpenAlexW2087167399MaRDI QIDQ791110

Calixto P. Calderón

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90024-8

zbMATH Keywords

Orlicz spacestotal differentialexistence of directional derivatives of functions in Sobolev spaceslacunary differentiabilitylacunary incremental quotients

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Remembrances and Silhouettes ⋮ On the Differentiability of Lipschitz-Besov Functions ⋮ Differentiability of logarithmic Besov functions in terms of capacities

Cites Work

• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• On the differentiability of functions of several variables
• Maxis smoothing operators and some Orlicz classes
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