Differential and ergodic transforms |
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| Authors: | Roger L. Jones Joseph Rosenblatt |
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| Affiliation: | (1) DePaul University, Department of Mathematics, 2330 N. Kenmore, Chicago, IL 60614, USA (e-mail: rjones@condor.depaul.edu) , US;(2) University of Illinois at Urbana, Department of Mathematics, Urbana, IL 61801, USA (e-mail: rosnbltt@math.uiuc.edu) , US |
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| Abstract: | In this paper we consider weighted differences of ergodic averages and averages associated with differentiation. These weighted differences are shown to converge a.e., as well as in . These results have consequences for unconditional convergence of the series of differences, and give some information about how the averages converge. Received: 6 March 2000 / Published online: 4 April 2002 |
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| Keywords: | Mathematics Subject Classification (2000): 40A30 26D15 28D05 42C20 60G46 |
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