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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
On the integrability of a maximal square function in ergodic theory
V. F. Gaposhkin Moscow State University of Railway Communications
Abstract:
Necessary and sufficient conditions are established for $L^2$-summability of the maximal square function of general unitary operators. Extensions of the result to arbitrary contractions in $L^2$, multiparameter unitary groups, and power-bounded operators in $L^p$, $p>1$, are considered as well.
Keywords:
unitary operators, contractive operators, homogeneous random fields, power-bounded operators, individual ergodic theorem, maximal square function.
Received: 03.03.1998
Citation:
V. F. Gaposhkin, “On the integrability of a maximal square function in ergodic theory”, Teor. Veroyatnost. i Primenen., 44:2 (1999), 432–440; Theory Probab. Appl., 44:2 (2000), 386–394
Linking options:
https://www.mathnet.ru/eng/tvp777https://doi.org/10.4213/tvp777 https://www.mathnet.ru/eng/tvp/v44/i2/p432
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Abstract page: | 280 | Full-text PDF : | 166 | First page: | 14 |
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