activity
20162023
most citedOn the boundedness of Pseudo-differential operators on Triebel-Lizorkin and Besov spaces

14 citations · 28 across the 15 of their papers we have counts for

collaborators

18 papers

math.CA2023

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…

math.CA2022

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…

math.CA2022

On the boundedness of multilinear Fourier multipliers on Hardy spaces

Jin Bong Lee, Bae Jun Park

In this paper, we study multilinear Fourier multiplier operators on Hardy spaces. In particular, we prove that the multilinear Fourier multiplier operator of Hörmander type is boun…

math.CA2021

Trilinear Fourier multipliers on Hardy spaces

Jin Bong Lee, Bae Jun Park

In this paper, we obtain the boundedness for trilinear Fourier multiplier operators, which is a trilinear analogue of the multiplier th…

math.CA2021

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…

math.CA2020

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…