On the integrability of a maximal square function in ergodic theory

DOI10.1137/S0040585X97977628zbMATH Open0976.46016MaRDI QIDQ2711128

V. F. Gaposhkin

Publication date: 2 May 2001

Published in: Theory of Probability and its Applications (Search for Journal in Brave)

zbMATH Keywords

unitary operatorspower-bounded operatorscontractive operatorsindividual ergodic theoremhomogeneous random fieldsmaximal square functionmultiparameter unitary groups

Mathematics Subject Classification ID

Random fields (60G60) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20)

Related Items (3)

INTEGRABILITY OF ERGODIC SQUARE FUNCTION ⋮ Maximal Functions and H ^p Spaces Defined by Ergodic Transformations ⋮ Title not available (Why is that?)

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