3 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
An operator-valued theory for symmetric CZOs
Guixiang Hong, Honghai Liu, Tao Mei
We provide a natural BMO-criterion for the -boundedness of Calderón-Zygmund operators with operator-valued kernels satisfying a symmetric property. Our arguments involve both…
Variational inequalities for bilinear averages
Honghai Liu
We obtain variational inequalities for some classes of bilinear averages of one variable, generalizing the variational inequalities for averages of R. Jones {\it et al}. As an appl…
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…