Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$
Classical Analysis and ODEs
2021-05-04 v2 Dynamical Systems
Abstract
We prove strong jump inequalities for a large class of operators of Radon type in the discrete and ergodic theoretical settings. These inequalities are the endpoints of the -variational estimates studied in arXiv:1512.07523.
Keywords
Cite
@article{arxiv.1809.03803,
title = {Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$},
author = {Mariusz Mirek and Elias M. Stein and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1809.03803},
year = {2021}
}
Comments
v2: 39 pages, revised following referee report