Guangqing Wang

collaborators

3 papers

math.AP2025

Weighted weak-type (1, 1) inequalities for pseudo-differential operators with symbol in $S_{0, δ}^{m}$

Guangqing Wang, Suixin He, Lihua Zhang

Let $T_{a}$ be a pseudo-differential operator defined by exotic symbol $a$ in Hörmander class $S_{0, δ}^{m}$ with $m \in R$ and $0 \leq δ \leq 1$ . It is well-known that the we…

math.AP2025

Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators

Guangqing Wang

It is studied that pointwise estimates and continuities on Hardy spaces of pseudo-differential operators (PDOs for short) with the symbol in general Hörmander's classes. We get wei…

math.CA2024

Notes on Regularity of Fourier integral operators with symbol in $S_{0, δ}^{m}$

Guangqing Wang, Suixin He

Let $T_{a, φ}$ be a Fourier integral operator defined with $a \in S_{0, δ}^{m} (0 \leq δ < 1)$ and $φ \in Φ^{2}$ satisfying the strong non-degenerate condition. We demonstrate that when the…

Weighted weak-type (1, 1) inequalities for pseudo-differential operators with symbol in S0,δm​

Sharp maximal function estimates and Hp continuities of pseudo-differential operators

Notes on Regularity of Fourier integral operators with symbol in S0,δm​

Weighted weak-type (1, 1) inequalities for pseudo-differential operators with symbol in $S_{0, δ}^{m}$

Sharp maximal function estimates and $H^{p}$ continuities of pseudo-differential operators

Notes on Regularity of Fourier integral operators with symbol in $S_{0, δ}^{m}$