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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 off-diagonal weighted weak type estimates for sparse operators
Qianjun He, Dunyan Yan
We prove sharp weak type weighted estimates for a class of sparse operators that includes majorants of standard -fractional singular integrals, fractional integral operators, Ma…
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…