Almost everywhere convergence of series in <IMG BORDER="0" SRC="/proc/2005-133-08/S0002-9939-05-07957-8/gif-title0/img1.gif" >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Almost everywhere convergence of series in

Authors:	Ciprian Demeter

Institution:	Department of Mathematics, University of California Los Angeles, Los Angeles, California 90095-1555

Abstract:	We answer positively a question of J. Rosenblatt (1988), proving the existence of a sequence with $\sum_{i=1}^{\infty}\vert c_i\vert=\infty$ , such that for every dynamical system $(X,\Sigma, m, T)$ and $f\in L^1(X)$ , $\sum_{i=1}^{\infty}c_i f(T^ix)$ converges almost everywhere. A similar result is obtained in the real variable context.

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文