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This article is cited in 4 scientific papers (total in 4 papers)
Research Papers
Compactness criteria for spaces of measurable functions
Yu. Brudnyi Department of Mathematics, Technion, 32000, Haifa, Israel
Abstract:
The paper contains new compactness criteria for a wide class of translation-invariant spaces of measurable functions. The results imply new compactness theorems for the families of Orlicz classes (such as $L_0(\mathbb R^d)$) and Marcinkiewicz–Lorentz spaces (including $L_{pq}$ with $p<1$).
Keywords:
compactness, translation invariant $F$- and $B$-lattices, Orlicz classes, Marcinkiewicz–Lorentz quasi-Banach spaces.
Received: 18.07.2012
Citation:
Yu. Brudnyi, “Compactness criteria for spaces of measurable functions”, Algebra i Analiz, 26:1 (2014), 68–93; St. Petersburg Math. J., 26:1 (2015), 49–68
Linking options:
https://www.mathnet.ru/eng/aa1369 https://www.mathnet.ru/eng/aa/v26/i1/p68
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Abstract page: | 300 | Full-text PDF : | 113 | References: | 52 | First page: | 19 |
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