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

collaborators

8 papers

math.CA2022

Limited range extrapolation with quantitative bounds and applications

Mingming Cao, Honghai Liu, Zengyan Si +1

In recent years, sharp or quantitative weighted inequalities have attracted considerable attention on account of $A_{2}$ conjecture solved by Hytönen. Advances have greatly improved…

math.CA2020★ 2 cited

Weak and strong types estimates for square functions associated with operators

Mingming Cao, Zengyan Si, Juan Zhang

Let $L$ be a linear operator in $L^{2} (R^{n})$ which generates a semigroup $e^{- t L}$ whose kernels $p_{t} (x, y)$ satisfy the Gaussian upper bound. In this paper, we investigate s…

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.CA2019★ 11 cited

Some notes on commutators of the fractional maximal function on variable Lebesgue spaces

Pu Zhang, Zengyan Si, Jianglong Wu

Let $0 < α < n$ and $M_{α}$ be the fractional maximal function. The nonlinear commutator of $M_{α}$ and a locally integrable function $b$ is given by $[b, M_{α}] (f) = b M_{α} (f) - M_{α} (b f)$ . In this…

math.CA2016★ 1 cited

On the bilinear square Fourier multiplier operators and related multilinear square functions

Zengyan Si, Qingying Xue, Kozo Yabuta

Let $n \geq 1$ and $T_{m}$ be the bilinear square Fourier multiplier operator associated with a symbol $m$ , which is defined by $$ \mathfrak{T}_{m}(f_1,f_2)(x) = \biggl( \…

math.CA2015

On General multilinear square function with non-smooth kernels

Mahdi Hormozi, Zengyan Si, Qingying Xue

In this paper, we obtain some boundedness of the following general multilinear square functions $T$ with non-smooth kernels, which extend some known results significantly. $$ T(\ve…

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 $L^{- α /2}$ …