1 Introduction and Main Results In classical ergodic theory,one of the earliest pointwise ergodic convergence theorems was obtained by Birkhoff[1]in 1931.Dunford and Schwartz[2]greatly generalized the previous situati...1 Introduction and Main Results In classical ergodic theory,one of the earliest pointwise ergodic convergence theorems was obtained by Birkhoff[1]in 1931.Dunford and Schwartz[2]greatly generalized the previous situation;they established the strong(p;p)maximal inequalities for all 1<p<∞ for time averages of positive L1-L∞ contractions and obtained the pointwise convergence result as a corollary.展开更多
基金Supported by National Natural Science Foundation of China(11601396).
文摘1 Introduction and Main Results In classical ergodic theory,one of the earliest pointwise ergodic convergence theorems was obtained by Birkhoff[1]in 1931.Dunford and Schwartz[2]greatly generalized the previous situation;they established the strong(p;p)maximal inequalities for all 1<p<∞ for time averages of positive L1-L∞ contractions and obtained the pointwise convergence result as a corollary.
