12 citations · 35 across the 19 of their papers we have counts for
5 papers · 1 filter
Damping estimates for oscillatory integral operators with real-analytic phases and its applications
Zuoshunhua Shi, Shaozhen Xu, Dunyan Yan
In this paper, we investigate sharp damping estimates for a class of one dimensional oscillatory integral operators with real-analytic phases. By establishing endpoint estimates fo…
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 bounds for Hardy type operators on higher-dimensional product spaces
Qianjun He, Dunyan Yan
In this paper, we investigate a class of fractional Hardy type operators defined on higher-dimensional product spaces $\mathbb{R}^{n_{1}}\times\m…
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…