Mixed q-integral of the p-variation and mixed differentiability in \(L_ p \)of functions from \(L_ q\).

DOI10.1007/BF01142706zbMath0511.46024OpenAlexW2331738996MaRDI QIDQ1838677

A. P. Terekhin

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01142706

zbMATH Keywords

Lp-spacesspaces of measurable functions(p,a)-modulus of continuity of order rmixed differentiability in Lp of functions from Lqq-integral p-variation of order r

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Cites Work

• SPLINE INTERPOLATION AND THE HIGHER DERIVATIVES
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