39 citations · 172 across the 26 of their papers we have counts for
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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…
Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols
Guozhen Lu, Jill Pipher, Lu Zhang
The main purpose of this paper is to study Hölder type estimates for a bi-parameter trilinear Fourier multiplier with flag singularity, and the analogous pseudo-differential…
Hardy Space Estimates for Littlewood-Paley-Stein Square Functions and Calderón-Zygmund Operators
Jarod Hart, Guozhen Lu
In this work, we give new sufficient conditions for a Littlewood-Paley-Stein square function and necessary and sufficient conditions for a Calderón-Zygmund operator to be bounded o…
estimates for the bilinear Hilbert transform for : A counterexample and generalizations to non-smooth symbols
Wei Dai, Guozhen Lu
M. Lacey and C. Thiele proved in [27] (Annals of Math. (1997)) and [28] (Annals of Math. (1999)) that the bilinear Hilbert transform maps b…
estimates for bilinear and multi-parameter Hilbert transforms
Wei Dai, Guozhen Lu
C. Muscalu, J. Pipher, T. Tao and C. Thiele proved in \cite{MPTT1} that the standard bilinear and bi-parameter Hilbert transform does not satisfy any estimates. They also r…
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
Yongsheng Han, Guozhen Lu, Eric Sawyer
Marcinkiewicz multipliers are L^{p} bounded for 1<p<\infty on the Heisenberg group H^{n}\simeqC^{n}\timesR (D. Muller, F. Ricci and E. M. Stein) despite the lack of a two parameter…