62 citations · 76 across the 18 of their papers we have counts for
18 papers
Boundedness of differential transforms for one-sided fractional Poisson-type operator sequence
Chao Zhang, Tao Ma, José L. Torrea
In this paper, we analyze the convergence speed of a series related with by discussing the behavior of the family of operators \begin{equation*} T_N^αf(t) = \sum…
Vector-valued -variational inequalities for averaging operators and Hilbert transform
Guixiang Hong, Wei Liu, Tao Ma
Recently, in \cite{GXHTM}, the authors established -boundedness of vector-valued -variational inequalities for averaging operators which take values in the Banach space sat…
Weighted variation inequalities for differential operators and singular integrals in higher dimensions
Tao Ma, José Luis Torrea, Quanhua Xu
We prove weighted -variation inequalities with for differential and singular integral operators in higher dimensions. The vector-valued extensions of these inequali…
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…
Spectral and Parametric Averaging for Integrable Systems
Tao Ma, R. A. Serota
We analyze two theoretical approaches to ensemble averaging for integrable systems in quantum chaos - spectral averaging and parametric averaging. For spectral averaging, we introd…