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On weighted compactness of commutators of Schrödinger operators
Qianjun He, Pengtao Li
Let be a Schrödinger operator, where is the Laplacian operator on , while the nonnegative potential b…
Some Weighted Estimates on Gaussian Measure Spaces
Boning Di, Qianjun He, Dunyan Yan
In this paper, we obtain the weighted boundedness for the local multi(sub)linear Hardy-Littlewood maximal operators and local multilinear fractional integral operators associated w…
Weighted estimates for bilinear fractional integral operators and their commutators on Morrey spaces
Qianjun He, Mingquan Wei, Dunyan Yan
This paper mainly dedicates to prove a plethora of weighted estimates on Morrey spaces for bilinear fractional integral operators and their general commutators with BMO functions o…
Bilinear fractional integral operators on Morrey spaces
Qianjun He, Dunyan Yan
We prove a plethora of boundedness property of the Adams type for bilinear fractional integral operators of the form $$B_α(f,g)(x)=\int_{\mathbb{R}^{n}}\frac{f(x-y)g(x+y)}{|y|^{n-α…
Sharp weak bounds and limiting weak-type behavior for Hardy type operators
Qianjun He, Dunyan Yan
In this paper, Hardy type operator on $\bR^{n}$ and its adjoint operator are investigated. We use novel methods to obtain two main results. One is that we obtain th…
Weighted boundedness of Hardy and Pólya-Knopp type operators with variable limits on product space
Qianjun He, Dunyan Yan
We characterize the sufficient conditions which three weight functions and satisfy ensure the boundedness of the Hardy operator with variable limits on product s…