Singular Integrals in the Cesàro Sense.
A.L. Bernardis, F.J. Martin-Reyes (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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A.L. Bernardis, F.J. Martin-Reyes (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Doğan Çömez (2008)
Colloquium Mathematicae
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This article is concerned with the study of the discrete version of generalized ergodic Calderón-Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak (1,1). From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the...
J. Woś (1987)
Colloquium Mathematicae
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Pertti Mattila (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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Karl Petersen, Shizuo Kakutani (1981)
Monatshefte für Mathematik
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Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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A. Al-Hussaini (1974)
Annales Polonici Mathematici
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James E. Daly (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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Jones, Roger L. (1997)
The New York Journal of Mathematics [electronic only]
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Zbigniew S. Kowalski (1984)
Colloquium Mathematicae
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Janusz Woś (1987)
Colloquium Mathematicae
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Paweł Głowacki (1981)
Studia Mathematica
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Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
Laurian Suciu (2009)
Studia Mathematica
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We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study...
Roland Zweimüller (2004)
Colloquium Mathematicae
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
Burgess Davis (1982)
Studia Mathematica
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