Renhui Wan

activity

20142023

most citedLocal well-posedness for the Hall-MHD equations with fractional magnetic diffusion

94 citations · 142 across the 11 of their papers we have counts for

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math.CA2023

Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions

Renhui Wan

For any nonempty set $U \subset R^{+}$ , we consider the maximal operator $\h^U$ defined as $\h^Uf=\sup_{u\in U}|H^{(u)} f|$, where $H^{(u)}$ represents the Hilbert transform along the…

math.CA2022

$L^{p}$ estimates for Hilbert transform and maximal operator associated to variable polynomial

Renhui Wan

We investigate the Hilbert transform and the maximal operator along a class of variable non-flat polynomial curves $(P (t), u (x) t)$ with measurable $u (x)$ , and prove uniform $L^{p}$ es…

math.CA2020★ 1 cited

$L^{p}$ bound for the Hilbert transform along variable non-flat curves

Renhui Wan

We prove the $L^{p}$ bound for the Hilbert transform along variable non-flat curves $(t, u (x) [t]^{α} + v (x) [t]^{β})$ , where $α$ and $β$ satisfy $α \neq = β, α \neq = 1, β \neq = 1.$ Comparing with…

Sharp maximal function estimates for Hilbert transforms along monomial curves in higher dimensions

Lp estimates for Hilbert transform and maximal operator associated to variable polynomial

Lp bound for the Hilbert transform along variable non-flat curves

$L^{p}$ estimates for Hilbert transform and maximal operator associated to variable polynomial

$L^{p}$ bound for the Hilbert transform along variable non-flat curves