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math.FA2008★ 9 cited
Support of Borelian Measures in Separable Banach Spaces
E. Ostrovsky
We prove in this article that every Borelian measure, for example, the distribution of a random variable, in separable Banach space has a support which is compact embedded Banach s…
math.FA2008★ 18 cited
Nikol'skii-type inequalities for rearrangement invariant spaces
E. Ostrovsky, L. Sirota
In this paper we generalize the classical Nikol'skii inequality on the many popular classes pairs of rearrangement invariant (r.i.) spaces and construct some examples in order to s…