3 citations · 5 across the 8 of their papers we have counts for
8 papers
Limited range extrapolation with quantitative bounds and applications
Mingming Cao, Honghai Liu, Zengyan Si +1
In recent years, sharp or quantitative weighted inequalities have attracted considerable attention on account of conjecture solved by Hytönen. Advances have greatly improved…
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…
Variational characterization of H^p
Honghai Liu
In this paper we obtain the variational characterization of Hardy space for and get estimates for the oscillation operator and the -jump operator as…
Jump and variational inequalities for rough operators
Yong Ding, Guixiang Hong, Honghai Liu
In this paper, we systematically study jump and variational inequalities for rough operators, whose research have been initiated by Jones {\it et al}. More precisely, we show some…
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…