On properties of functions with conditions on their mean oscillation over cubes

DOI10.1007/BF02390513zbMath0506.46024MaRDI QIDQ1836849

Tord Sjödin

Publication date: 1982

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

BMOequivalent normsMorrey spaceextension theorembounded mean oscillationlocal best approximation

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) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (2)

A \(T(P)\)-theorem for Zygmund spaces on domains ⋮ On the restriction of functions of bounded mean oscillation to the lower dimensional space

Cites Work

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• Bessel potentials and extension of continuous functions on compact sets
• On functions with conditions on the mean oscillation
• Continuous functions and potential theory
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• A remark on inequalities of Calderon-Zygmund type for vector-valued functions
• Some properties of functions with bounded mean oscillation
• Hölder continuous functions on compact sets and functions spaces
• Mean Oscillation Over Cubes and Holder Continuity
• The distance in BMO to \(L^\infty\)
• Capacities of compact sets in linear subspaces of \(R^n\)

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