6 citations · 25 across the 19 of their papers we have counts for
21 papers
A Roth theorem in and a related ergodic theorem
Danqing He, Xinyu Zhu
We prove a quantitative Roth theorem in the plane for the two-dimensional polynomial pattern . A pointwise conv…
On pointwise convergence of multilinear Bochner-Riesz means
Danqing He, Kangwei Li, Jiqiang Zheng
We improve the range of indices when the multilinear Bochner-Riesz means converges pointwisely. We obtain this result by establishing the estimates and weighted estimates of…
A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators
Jiao Chen, Danqing He, Guozhen Lu +2
In this paper, we investigate the Hörmander type theorems for the multi-linear and multi-parameter Fourier multipliers. When the multipliers are characterized by -based Sobole…
Multilinear rough singular integral operators
Loukas Grafakos, Danqing He, Petr Honzik +1
We study -linear homogeneous rough singular integral operators associated with integrable functions on with mean value zero. We prove bou…
Improved estimates for bilinear rough singular integrals
Danqing He, Bae Jun Park
We study bilinear rough singular integral operators associated with a function on the sphere . In the recent work of Grafakos, He, and Slavík…
On pointwise a.e. convergence of multilinear operators
Loukas Grafakos, Danqing He, Petr Honzík +1
In this work we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) truncated homogeneous singular integral operators associated with…