Danqing He

activity

20162019

most citedOn Bilinear Maximal Bochner-Riesz Operators

6 citations · 12 across the 5 of their papers we have counts for

collaborators

5 papers

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.CA2017

Weighted inequalities of bilinear rough singular integrals

Peng Chen, Danqing He, Liang Song

We establish a quantitative weighted inequality for the bilinear rough singular integral, where the bound is controlled by the cube of the weight constant.

math.CA2016★ 6 cited

On Bilinear Maximal Bochner-Riesz Operators

Danqing He

We prove that the bilinear maximal Bochner-Riesz operator $T_{*}^{λ}$ is bounded from $L^{p_{1}} (R^{n}) \times L^{p_{2}} (R^{n})$ to $L^{p} (R^{n})$ for appropriate $(p_1,p_2,…

math.CA2016★ 2 cited

The Hörmander multiplier theorem, II: The bilinear local $L^{2}$ case

Loukas Grafakos, Danqing He, Petr Honzík

We use wavelets of tensor product type to obtain the boundedness of bilinear multiplier operators on $R^{n} \times R^{n}$ associated with Hörmander multipliers on $\math…

math.CA2016★ 4 cited

The Hörmander multiplier theorem I: The Linear Case

Loukas Grafakos, Danqing He, Petr Honzík +1

We discuss $L^{p} (R^{n})$ boundedness for Fourier multiplier operators that satisfy the hypotheses of the Hörmander multiplier theorem in terms of an optimal condition that rel…