Weighted Laws of Large Numbers and Weighted One-Sided ergodic Hilbert Transforms on Vector Valued $L_p$-spaces
Functional Analysis
2020-01-20 v1 Probability
Abstract
A more general notion of weight called admissible is introduced and then an investigation is carried out on the a.e. convergence of weighted strong laws of large numbers and their applications to weighted one-sided ergodic Hilbert transforms on vector-valued -spaces. Furthermore, the obtained results are applied to the a.e. convergence of random modulated weighted ergodic series, which is also new in the classical setting.
Keywords
Cite
@article{arxiv.2001.06262,
title = {Weighted Laws of Large Numbers and Weighted One-Sided ergodic Hilbert Transforms on Vector Valued $L_p$-spaces},
author = {Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:2001.06262},
year = {2020}
}
Comments
28 pages