On a new class of functions related to VMO

DOI10.1016/j.crma.2010.11.026zbMath1223.46027OpenAlexW2054046616MaRDI QIDQ627742

Hoai-Minh Nguyen, Haim Brezis

Publication date: 3 March 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/214988

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) Maximal functions, Littlewood-Paley theory (42B25) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (11)

Two subtle convex nonlocal approximations of the BV-norm ⋮ On the Variational Limits of Lattice Energies on Prestrained Elastic Bodies ⋮ Non-local functionals related to the total variation and connections with image processing ⋮ Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces ⋮ On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮ On anisotropic Sobolev spaces ⋮ Estimates for the topological degree and related topics ⋮ Non-convex, non-local functionals converging to the total variation ⋮ Some inequalities related to Sobolev norms ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps ⋮ On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Cites Work

• On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces
• Degree theory of BMO. I: Compact manifolds without boundaries
• Optimal constant in a new estimate for the degree
• Some new characterizations of Sobolev spaces
• A new characterization of Sobolev spaces
• On functions of bounded mean oscillation

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