Independent Random Variables and Rearrangement Invariant Spaces (London Mathematical Society Lecture Note Series, Series Number 194)

Braverman, Michael Sh.

ISBN 10: 0521455154 / ISBN 13: 9780521455152

Published by Cambridge University Press, 1994

About this Item

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Bibliographic Details

• Title: Independent Random Variables and Rearrangement Invariant Spaces (London Mathematical Society Lecture Note Series, Series Number 194)
• Publisher: Cambridge University Press
• Publication Date: 1994
• Language: English
• ISBN 10: 0521455154
• ISBN 13: 9780521455152
• Binding: Soft cover
• Condition: Good

About this title

Synopsis

The subject of this book lies on the boundary between probability theory and the theory of function spaces. Here Professor Braverman investigates independent random variables in rearrangement invariant (r.i.) spaces. The significant feature of r.i. spaces is that the norm of an element depends on its distribution only, and this property allows the results and methods associated with r.i. spaces to be applied to problems in probability theory. On the other hand, probabilistic methods can also prove useful in the study of r.i. spaces. In this book new techniques are used and a number of interesting results are given, many of which have never before been available in English.

Book Description

The subject lies on the boundary between probability theory and the theory of function spaces in this investigation of independent random variables in rearrangement invariant (r.i.) spaces. New techniques are used and a number of interesting results are given.