Proceedings of the American Mathematical Society

Author(s): Chaoyuan Liu; Joseph Rosenblatt
Journal: Proc. Amer. Math. Soc. 136 (2008), 557-567.
MSC (2000): Primary 37A05, 37A50, 26A45; Secondary 28D05
Posted: October 24, 2007
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Abstract: We describe necessary and sufficient conditions for square functions to map $L^\infty$ to $L^\infty$ for ergodic averages and Lebesgue derivatives.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 37A05, 37A50, 26A45, 28D05

Chaoyuan Liu
Affiliation: Department of Mathematics and Statistics, Wallace 313, Eastern Kentucky University, Richmond, Kentucky 40475
Email: mary.liu@eku.edu

Joseph Rosenblatt
Affiliation: Department of Mathematics, University of Illinois at Champaign-Urbana, 1409 W. Green Street, Urbana, Illinois 61801-2975
Email: jrsnbltt@math.uiuc.edu

DOI: 10.1090/S0002-9939-07-09054-5
PII: S 0002-9939(07)09054-5
Received by editor(s): October 5, 2006
Posted: October 24, 2007
Additional Notes: The second author recognizes the support of the NSF during the preparation of this article.
Communicated by: Jane M. Hawkins
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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