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On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions
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Journal Article
On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions
2023
Overview
Subspaces of an Orlicz space
L
M
generated by probabilistically independent copies of a function
,
, 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
L
M
. 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.
Publisher
Pleiades Publishing,Springer Nature B.V
Subject
