- PII
- 10.31857/S2686954323600246-1
- DOI
- 10.31857/S2686954323600246
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume 512 / Issue number 1
- Pages
- 65-68
- Abstract
- Subspaces of an Orlicz space LM generated by probabilistically independent copies of a function \(f \in {{L}_{M}}\), \(\int_0^1 {f(t){\kern 1pt} dt} = 0\), are studied. In terms of dilations of f, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in LM. A class of Orlicz spaces such that for all subspaces generated by independent identically distributed functions these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined.
- Keywords
- независимые функции сильно вложенное подпространство равностепенная непрерывность норм функция Орлича пространство Орлича индексы Матушевской–Орлича
- Date of publication
- 01.05.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 34
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