Square functions in ergodic theory-Reference-Cited by-同舟云学术

Square functions in ergodic theory

Published:1996-04 Issue:2 Volume:16 Page:267-305
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Jones Roger L.,Ostrovskii Iosif V.,Rosenblatt Joseph M.

Abstract

AbstractGiven the usual averages in ergodic theory, let n1 ≤ n2 ≤ … and . There is a strong inequality ‖Sf‖2 ≤ 25‖f‖2 and there is a weak inequality m{Sf > λ} ≤ (7000/λ)‖f‖1. Related results and questions for other variants of this square function are also discussed.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference22 articles.

1. CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS

2. Almost everywhere convergence of convolution powers

3. On the maximal ergodic theorem for certain subsets of the integers

4. ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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