Vector valued $q$-variation for differential operators and semigroups II
Functional Analysis
2014-12-09 v2 Classical Analysis and ODEs
Dynamical Systems
Abstract
In this paper, we establish UMD lattice-valued variational inequalities for differential operators, ergodic averages and analytic semigroups. These results generalize, on the one hand some scalar-valued variational inequalities in ergodic theory, on the other hand Xu's very recent result on UMD lattice-valued maximal inequality. As a consequence, we deduce the jump estimates and obtain quantitative information on the rate of the pointwise convergence.
Keywords
Cite
@article{arxiv.1411.1254,
title = {Vector valued $q$-variation for differential operators and semigroups II},
author = {Guixiang Hong and Tao Ma},
journal= {arXiv preprint arXiv:1411.1254},
year = {2014}
}
Comments
18 pages. Significant changes on the presentation but with the main results being kept to avoid arXiv admin note