Vector valued q-variation for differential operators and semigroups II
Hong, Guixiang · Ma, Tao
Functional Analysis
Classical Analysis and ODEs
Dynamical Systems
Primary 47B38, 46E40, Secondary 47A35, 42B25
Original · EN
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.
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