Search Results - "Gan, Shengwen"

Small Cap Square Function Estimates by Gan, Shengwen

“…We introduce and prove small cap square function estimates for the unit parabola and the truncated light cone. More precisely, we study inequalities of the…”
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An Exceptional Set Estimate for Restricted Projections to Lines in R3 by Gan, Shengwen, Guth, Larry, Maldague, Dominique

“…Let γ : [ 0 , 1 ] → S 2 be a non-degenerate curve in R 3 , that is to say, det ( γ ( θ ) , γ ′ ( θ ) , γ ′ ′ ( θ ) ) ≠ 0 . For each θ ∈ [ 0 , 1 ] , let l θ =…”
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An Incidence Estimate and a Furstenberg Type Estimate for Tubes in R2 by Fu, Yuqiu, Gan, Shengwen, Ren, Kevin

“…We study the δ -discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some…”
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Exceptional Set Estimate Through Brascamp–Lieb Inequality by Gan, Shengwen

“…Abstract Fix integers $1\le k<n$, and numbers $a,s$ satisfying $0<s<\min \{k,a\}$. The problem of exceptional set estimate is to determine $$\begin{align*} &…”
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A note on local smoothing estimates for fractional Schrödinger equations by Gan, Shengwen, Oh, Changkeun, Wu, Shukun

“…We improve local smoothing estimates for fractional Schrödinger equations for α∈(0,1)∪(1,∞)…”
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An Exceptional Set Estimate for Restricted Projections to Lines in $$\mathbb R^3 by Gan, Shengwen, Guth, Larry, Maldague, Dominique

“…Abstract Let $$\gamma :[0,1]\rightarrow \mathbb S^{2}$$ γ : [ 0 , 1 ] → S 2 be a non-degenerate curve in $$\mathbb R^3$$ R 3 , that is to say, $$\det \big…”
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An Incidence Estimate and a Furstenberg Type Estimate for Tubes in $$\mathbb {R}^2 by Fu, Yuqiu, Gan, Shengwen, Ren, Kevin

“…Abstract We study the $$\delta $$ δ -discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming…”
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An Incidence Estimate and a Furstenberg Type Estimate for Tubes in [Formula omitted] by Fu, Yuqiu, Gan, Shengwen, Ren, Kevin

“…We study the [Formula omitted]-discretized Szemerédi-Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes…”
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Iterative local maximum synchrosqueezing-extracting transform by Wei, Dahuan, Huang, Huang, Lu, Zhengjie, Li, Xiaokang, Yan, Hongzhi, Sun, Jixin, Gan, Shengwen, Wang, Bo

“…•Extracting the maximum value of the instantaneous frequency during each iteration to eliminate non-reassigned TF points.•A synchroextracting operator is…”
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Furstenberg set problem and exceptional set estimate in prime fields: dimension two implies higher dimensions by Gan, Shengwen

“…We study Furstenberg set problem, and exceptional set estimate for Marstrand's orthogonal projection in prime fields for all dimensions. We define the…”
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Effects of intravenous nicardipine followed by oral labetalol in combination with nifedipine controlled-release tablet on severe peripartum hypertension by Lan, Lan, Yan, Yunsheng, Qi, Haifeng, Qin, Jiali, Li, Lan, Gan, Shengwen, Zhang, Ruoxuan, Zhang, Yaozong

“…OBJECTIVES: : To investigate the effects of intravenous nicardipine as initial therapy and oral labetalol combined with nifedipine controlled-release tablet as…”
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Kakeya problem and projection problem for $k$-geodesics in Grassmannians by Gan, Shengwen

“…The Kakeya problem in $\mathbb{R}^n$ is about estimating the size of union of $k$-planes; the projection problem in $\mathbb{R}^n$ is about estimating the size…”
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A Marstrand projection theorem for lines by Gan, Shengwen

“…Fix integers $1<k<n$. For $V\in G(k,n)$, let $P_V: \mathbb{R}^n\rightarrow V$ be the orthogonal projection. For $V\in G(k,n)$, define the map \[ \pi_V:…”
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Exceptional set estimate through Brascamp-Lieb inequality by Gan, Shengwen

“…Fix integers $1\le k<n$, and numbers $a,s$ satisfying $0<s<\min\{k,a\}$. The problem of exceptional set estimate is to determine \[T(a,s):=\sup_{A\subset…”
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Hausdorff dimension of unions of $k$-planes by Gan, Shengwen

“…We prove a conjecture of H\'era on the dimension of unions of $k$-planes. Let $0<k \le d<n$ be integers, and $\beta\in[0,k+1)$. If $\mathcal{V}\subset A(k,n)$,…”
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Small cap square function estimates by Gan, Shengwen

“…We introduce small cap square function estimates for parabola and cone, and prove the sharp estimates. More precisely, we study the inequalities of form \[…”
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Efficacy of low-dose nicardipine for emergent treatment of severe postpartum hypertension in maternal intensive care units: An observational study by Qi, Haifeng, Qin, Jiali, Ren, Li, Li, Lan, Lan, Lan, Yan, Yunsheng, Gan, Shengwen, Zhang, Yaozong

“…•Low-dose nicardipine can treat severe postpartum hypertension efficiently.•Using low-dose nicardipine need not adjust therapeutic dosage…”
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Intra-arterial versus oscillometric blood pressure measurements in women with severe peripartum hypertension undergoing urgent treatment with nicardipine: An observational study by Zhang, Yaozong, Lan, Lan, Qi, Haifeng, Qin, Jiali, Ren, Li, Li, Lan, Yan, Yunsheng, Gan, Shengwen, Xiang, Bingxin

“…•Intravenous nicardipine can treat severe postpartum hypertension efficiently.•Invasive mean arterial pressure can be used to monitor the effect of…”
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A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem by Gan, Shengwen, Wu, Shukun

“…We prove some weighted $L^p\ell^p$-decoupling estimates when $p=2n/(n-1)$. As an application, we give a result beyond the real interpolation exponents for the…”
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Exceptional set estimates in finite fields by Bright, Paige, Gan, Shengwen

“…We study the exceptional set estimate for projections in $\mathbb{F}_q^n$. For each $V\in G(k,\mathbb{F}^n_q)$, let $$ \pi_V: \mathbb{F}_q^n\rightarrow V $$ be…”
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