Liang Song

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20222026

most citedLocal smoothing and Hardy spaces for Fourier integral operators on manifolds

1 citations · 1 across the 7 of their papers we have counts for

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math.CA2025

Weak type $(1, 1)$ bounds for Riesz transforms for elliptic operators in non-divergence form

Liang Song, Huohao Zhang

Let $L = - \sum_{i, j = 1}^{n} a_{ij} D_{i} D_{j}$ be the elliptic operator in non-divergence form with smooth real coefficients satisfying uniformly elliptic condition. Let $W$ be the global no…

math.CA2025

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

In this article we consider a modification of the Stein's spherical maximal operator of complex order $α$ on $R^{n}$ : $$ {\mathfrak M}^α_{[1,2]} f(x) =\sup\limits_{t\in [1,…

math.CA2024

Spherical maximal functions and Hardy spaces for Fourier integral operators

Abhishek Ghosh, Naijia Liu, Jan Rozendaal +1

We use the Hardy spaces for Fourier integral operators to obtain bounds for spherical maximal functions in $L^{p} (R^{n})$ , $n \geq 2$ , where the radii of the spheres are res…

Weak type (1,1) bounds for Riesz transforms for elliptic operators in non-divergence form

Lp→Lq estimates for Stein's spherical maximal operators

Spherical maximal functions and Hardy spaces for Fourier integral operators

Weak type $(1, 1)$ bounds for Riesz transforms for elliptic operators in non-divergence form

$L^{p} \to L^{q}$ estimates for Stein's spherical maximal operators