Result: Weak-\(L^1\) estimates and ergodic theorems

Title:
Weak-\(L^1\) estimates and ergodic theorems
Authors:
Demeter, Ciprian, Quas, Anthony
Publisher Information:
University at Albany, Deptartment of Mathematics and Statistics, Albany
Subject Terms:
Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, return times theorem, Orlicz spaces, Measure-preserving transformations, Ergodic theory of linear operators
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/2166320
Accession Number:
edsair.c2b0b933574d..b750dd4358c0600ef6809cf7982db12f
Database:
OpenAIRE

Further Information

The celebrated return times theorem of \textit{J. Bourgain} [Publ. Math., Inst. Hautes Étud. Sci. 69, 5--45 (1989; Zbl 0705.28008)] requires the function under study be in the dual of the space of the function defining the (return times) sequence belongs. In 1997, \textit{I. Assani} [New York J. Math. 3A, 15--30 (1997; Zbl 0915.28009)] showed that \(N^*f(x)