25 citations · 109 across the 37 of their papers we have counts for
5 papers · 1 filter
Some jump and variational inequalities for the Calderón commutators and related operators
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, we establish jump and variational inequalities for the Calderón commutators, which are typical examples of non-convolution Calderón-Zygmund operators. For this purpo…
Variational inequalities for the commutators of rough operators with BMO functions
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, starting with a relatively simple observation that the variational estimates of the commutators of the standard Calderón-Zygmund operators with the BMO functions can…
Weighted jump and variational inequalities for rough operators
Yanping Chen, Yong Ding, Guixiang Hong +1
In this paper, we systematically study weighted jump and variational inequalities for rough operators. More precisely, we show some weighted jump and variational inequalities for t…
Noncommutative maximal ergodic inequalities associated with doubling conditions
Guixiang Hong, Ben Liao, Simeng Wang
This paper is devoted to the study of noncommutative maximal inequalities and ergodic theorems for group actions on von Neumann algebras. Consider a locally compact group of po…
Noncommutative ergodic averages of balls and spheres over Euclidean spaces
Guixiang Hong
In this paper, we establish a noncommutative analogue of Calderón's transference principle, which allows us to deduce noncommutative ergodic maximal inequalities from the special c…