Danqing He

activity

20162023

most citedOn Bilinear Maximal Bochner-Riesz Operators

6 citations · 15 across the 7 of their papers we have counts for

collaborators

Showing math.CAShow all

10 papers · 1 filter

math.CA2020

Initial $L^{2} \times \dots \times L^{2}$ bounds for multilinear operators

Loukas Grafakos, Danqing He, Petr Honzík +1

The $L^{p}$ boundedness theory of convolution operators is \linebreak based on an initial $L^{2} \to L^{2}$ estimate derived from the Fourier transform. The corresponding theory of multil…

math.CA2020★ 3 cited

Almost everywhere convergence of Bochner-Riesz means for the Hermite operators

Peng Chen, Xuan Thinh Duong, Danqing He +2

Let $H = - Δ + ∣ x ∣^{2}$ be the Hermite operator in $R^{n}$ . In this paper we study almost everywhere convergence of the Bochner-Riesz means associated with $H$ which is defined…

math.CA2019

Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases

Danqing He, Zuoshunhua Shi

We obtain sharp $L^{p}$ bounds for oscillatory integral operators with generic homogeneous polynomial phases in several variables. The phases considered in this paper satisfy the ran…

math.CA2018

Dimension-free estimates for the vector-valued variational operators

Dan Qing He, Gui Xiang Hong, Wei Liu

In this paper, We study dimension-free $L^{p}$ estimates for UMD lattice-valued $q$ -variations of Hardy-Littlewood averaging operators associated with the Euclidean balls.

math.CA2018

Maximal operators associated with bilinear multipliers of limited decay

Loukas Grafakos, Danqing He, Petr Honzík

Results analogous to those proved by Rubio de Francia are obtained for a class of maximal functions formed by dilations of bilinear multiplier operators of limited decay. We focus…

math.CA2018

$L^{2} \times L^{2} \to L^{1}$ boundedness criteria

Loukas Grafakos, Danqing He, Lenka Slavíková

We obtain a sharp $L^{2} \times L^{2} \to L^{1}$ boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic dilations of a given…

Initial L2×⋯×L2 bounds for multilinear operators

Almost everywhere convergence of Bochner-Riesz means for the Hermite operators

Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases

Dimension-free estimates for the vector-valued variational operators

Maximal operators associated with bilinear multipliers of limited decay

L2×L2→L1 boundedness criteria

Initial $L^{2} \times \dots \times L^{2}$ bounds for multilinear operators

$L^{2} \times L^{2} \to L^{1}$ boundedness criteria