25 citations · 109 across the 37 of their papers we have counts for
4 papers · 2 filters
Vector valued -variation for differential operators and semigroups II
Guixiang Hong, Tao Ma
In this paper, we establish UMD lattice-valued variational inequalities for differential operators, ergodic averages and analytic semigroups. These results generalize, on the one h…
Vector valued -variation for differential operators and semigroups I
Guixiang Hong, Tao Ma
In this paper, we establish -valued variational inequalities for differential operators, ergodic averages and symmetric diffusion semigroups under the condition that Ba…
The behavior of the bounds of matrix-valued maximal inequality in for large
Guixiang Hong
In this paper, we study the behavior of the bounds of matrix-valued maximal inequality in for large . The main result of this paper is that the -bounds ($p>1…
Banach lattice-valued -variation and convexity
Guixiang Hong
In this paper, we show that the -variation for differential operator is not bounded in for any . As a consequence, the -v…