Zengyan Si

activity

20122022

most citedSome notes on commutators of the fractional maximal function on variable Lebesgue spaces

11 citations · 17 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.FA2020★ 1 cited

Weak and strong type estimates for the multilinear Littlewood-Paley operators

Mingming Cao, Mahdi Hormozi, Gonzalo Ibañez-Firnkorn +3

Let $S_{α}$ be the multilinear square function defined on the cone with aperture $α \geq 1$ . In this paper, we investigate several kinds of weighted norm inequalities for $S_{α}$ . We fi…

math.FA2012★ 1 cited

Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces

Zengyan Si

Let $L$ be the infinitesimal generator of an analytic semigroup on $L^{2} (R^{n})$ with Gaussican kernel bounds, and let $L^{- α /2}$ be the fractional integrals of $L$ for $0 < α < n .$ For a…

math.FA2012★ 1 cited

Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces

Zengyan Si, Fayou Zhao

We prove that $b$ is in $Lip_{\bz}(\bz)$ if and only if the commutator $[b, L^{- α /2}]$ of the multiplication operator by $b$ and the general fractional integral operator $L^{- α /2}$ …