New PDF release: Almost Everywhere Convergence II. Proceedings of the

By Alexanra Bellow, Alexandra Bellow, Roger L. Jones

ISBN-10: 0120855208

ISBN-13: 9780120855209

Virtually far and wide Convergence II includes chosen papers shape the second one overseas convention on virtually in all places convergence in chance and Ergodic thought, which came about on October 16-20, 1989 at Northwestern college. It includes survey papers and significant unique contributions and may entice researchers within the sector of ergodic conception and harmonic research in addition to to graduate scholars coming into those fields of research

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Additional resources for Almost Everywhere Convergence II. Proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16–20, 1989

Example text

For if the operator H** were weak (1, 1), then by arguments similar to ones used above (for example using time 6 maps) we could conclude that the analogous operator F** for continuous-parameter flows in (6) is also weak (1, 1), and in particular this would hold true for the translation flow on R. Because of the formula alluded to above, this would imply that the maximal operator for partial sums of Fourier series is also (1, 1), but this is not true. THEOREM 4 [1].

S. Section 3, which is similar in spirit to Heinkel's [7] paper, shows that our results also complement in a natural way the important recent work by Ledoux, Talagrand, and Alt ([11], [12], [1]) dealing with criteria for the SLLN that involve weak moments. 2. B above. 3) (Bk)keN and (Ajt(r))jteiv be two sequences in 1R* such that Σ Etf) and A,(r) > £ Bt> i€J(*) E\^\r for all t € JV \ {1}. i€J(/) To ease the intuitive understanding of the conditions appearing below, we recall that in the "classical" case (a^j^n (2*- 1 , 2 ' ] n W , and A = = (j)j^N one can choose i/(£) := 2 / , J(t) := N\{1}.

S. Section 3, which is similar in spirit to Heinkel's [7] paper, shows that our results also complement in a natural way the important recent work by Ledoux, Talagrand, and Alt ([11], [12], [1]) dealing with criteria for the SLLN that involve weak moments. 2. B above. 3) (Bk)keN and (Ajt(r))jteiv be two sequences in 1R* such that Σ Etf) and A,(r) > £ Bt> i€J(*) E\^\r for all t € JV \ {1}. i€J(/) To ease the intuitive understanding of the conditions appearing below, we recall that in the "classical" case (a^j^n (2*- 1 , 2 ' ] n W , and A = = (j)j^N one can choose i/(£) := 2 / , J(t) := N\{1}.

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Almost Everywhere Convergence II. Proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16–20, 1989 by Alexanra Bellow, Alexandra Bellow, Roger L. Jones


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