Shaoming Guo

activity

20142026

most citedMaximal operators and Hilbert transforms along variable non-flat homogeneous curves

35 citations · 210 across the 41 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.AP2014

On the 1D Cubic Nonlinear Schrodinger Equation in an Almost Critical Space

Shaoming Guo

We obtain the local well-posedness of the one dimensional cubic nonlinear Schrödinger Equation for initial data in the modulation space $M_{2, p}$ for all $2 \leq p < \infty$ , which co…

math.CA2014

Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^{p}$ boundedness

Shaoming Guo

We prove the $L^{p} (p > 3/2)$ boundedness of the directional Hilbert transform in the plane relative to measurable vector fields which are constant on suitable Lipschitz curves.

math.CA2014★ 1 cited

Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^{2}$ boundedness

Shaoming Guo

We prove the $L^{2}$ boundedness of the directional Hilbert transform in the plane relative to measurable vector fields which are constant on suitable Lipschitz curves.

On the 1D Cubic Nonlinear Schrodinger Equation in an Almost Critical Space

Hilbert transform along measurable vector fields constant on Lipschitz curves: Lp boundedness

Hilbert transform along measurable vector fields constant on Lipschitz curves: L2 boundedness

Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^{p}$ boundedness

Hilbert transform along measurable vector fields constant on Lipschitz curves: $L^{2}$ boundedness