scientific article; zbMATH DE number 7258444
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Publication:4971090
zbMath1474.46061MaRDI QIDQ4971090
M. A. A. Marabeh, Eduard Yu. Emel'yanov
Publication date: 9 October 2020
Full work available at URL: http://mathnet.ru/eng/vmj568
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Riesz spaceBrezis-Lieb lemmauniformly integrable sequence\(uo\)-convergencealmost order bounded set\(\sigma uo\)-continuous mapping
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)
Related Items (14)
Existence of solutions of a non-linear eigenvalue problem with a variable weight ⋮ \(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ Internal characterization of Brezis-Lieb spaces ⋮ Unbounded \(p\)-convergence in lattice-normed vector lattices ⋮ Compact-like operators in lattice-normed spaces ⋮ Unnamed Item ⋮ Nonstandard hulls of lattice-normed ordered vector spaces ⋮ The Brezis-Lieb lemma in convergence vector lattices ⋮ Unbounded norm topology in Banach lattices ⋮ \(um\)-topology in multi-normed vector lattices ⋮ \(u\tau \)-convergence in locally solid vector lattices ⋮ Неограниченные сходимости в конвергентных векторных решетках ⋮ Неограниченная порядковая сходимость и теорема Гордона ⋮ On the Brezis–Lieb Lemma and Its Extensions
Cites Work
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Unbounded order convergence and application to martingales without probability
- Uo-convergence and its applications to Cesàro means in Banach lattices
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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