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Astashkin, S V

Publications and source records attributed to Astashkin, S V.

Martingale Rosenthal inequalities in symmetric spaces

We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.

97 MATHEMATICS AND COMPUTING↗

Spaces defined by the Paley function

The paper is concerned with Haar and Rademacher series in symmetric spaces, and also with the properties of spaces defined by the Paley function. In particular, the symmetric hull of the space of functions with uniformly bounded Paley function is found. Bibliography: 27 titles.

97 MATHEMATICS AND COMPUTING↗