Renhui Wan

activity

20152023

most citedOn the uniqueness for the 2D MHD equations without magnetic diffusion

2 citations · 2 across the 1 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.CA2020

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

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