Dominated ergodic theorems in rearrangement invariant spaces

Michael Braverman; Ben Zion Rubshtein; Alexander Veksler

Dominated ergodic theorems in rearrangement invariant spaces

Michael Braverman, Ben Zion Rubshtein, Alexander Veksler

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces L_p and the classes L logⁿ L.

Original language	English
Pages (from-to)	145-157
Number of pages	13
Journal	Studia Mathematica
Volume	128
Issue number	2
State	Published - 1 Dec 1998

Keywords

Ergodic theorem
Hardy-Littlewood property
Rearrangement invariant space

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces Lp and the classes L logn L.",

keywords = "Ergodic theorem, Hardy-Littlewood property, Rearrangement invariant space",

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T1 - Dominated ergodic theorems in rearrangement invariant spaces

AU - Braverman, Michael

AU - Rubshtein, Ben Zion

AU - Veksler, Alexander

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N2 - We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces Lp and the classes L logn L.

AB - We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces Lp and the classes L logn L.

KW - Ergodic theorem

KW - Hardy-Littlewood property

KW - Rearrangement invariant space

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ER -

Dominated ergodic theorems in rearrangement invariant spaces

Abstract

Keywords

ASJC Scopus subject areas

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