25 citations · 109 across the 37 of their papers we have counts for
6 papers · 1 filter
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…
The behaviour of square functions from ergodic theory in
Guixiang Hong
In this paper, we analyze carefully the behaviour in of the square functions and 's, originating from ergodic theory. Firstly, we show that…
Vector-valued Hilbert transforms along curves
Guixiang Hong, Honghai Liu
In this paper, we show that Hilbert transforms along some curves are bounded on for some and some UMD spaces . In particular, we prove that t…