Almost Everywhere Convergence Of Convolution Powers Without Finite Second Moment
نویسندگان
چکیده
منابع مشابه
Almost Everywhere Convergence of Series in L
We answer positively a question of J. Rosenblatt (1988), proving the existence of a sequence (ci) with ∑∞ i=1 |ci| = ∞, such that for every dynamical system (X,Σ, m, T ) and f ∈ L1(X), ∑∞i=1 cif(T ix) converges almost everywhere. A similar result is obtained in the real variable context.
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2011
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2618