BV has the bounded approximation property

DOI10.1007/BF02921855zbMath1091.46011MaRDI QIDQ1781393

Aleksander Pełczyński, Marianna Csörnyei, David Preiss, Giovanni Alberti

Publication date: 24 June 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

bounded approximation property\(\pi\)-propertyBanach space of functions with bounded variation in several variables

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of operators; tensor products; approximation properties (46B28) Vector-valued measures and integration (46G10)

Related Items (6)

Lower semicontinuity for an integral functional in BV ⋮ On bounded variation solutions of quasi-linear 1-Laplacian problems with periodic potential in \(\mathbb{R}^N\) ⋮ Some approximation properties of Banach spaces and Banach lattices ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ Approximation property and nuclearity on mixed‐normL^p, modulation and Wiener amalgam spaces ⋮ On dimension and regularity of vector-valued measures under Fourier analytic constraints

Cites Work

• Harmonic analysis of the space BV.
• Rank one property for derivatives of functions with bounded variation
• Spaces of functions with bounded variation and Sobolev spaces without local unconditional structure
• Projections and Non-Linear Approximation in the Space BV($\mathbb{R}^d$)
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