6 citations · 18 across the 37 of their papers we have counts for
37 papers
On the Local Regularity of the Hilbert Transform
Yifei Pan, Jianfei Wang, Yu Yan
In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.
A Sobolev Space Property of Logarithm of Lipschitz functions
Yifei Pan
For a Lipschitz function on an open set in , we consider the integrability of the quotient over its natural domain of definition.
Weighted Sobolev estimates of the truncated Beurling operator
Yifei Pan, Yuan Zhang
Given a bounded planar domain with boundary, , and a weight , we show that the corresponding truncated Beurling trans…
Construction of Twice Differentiable Functions with Continuous Laplacian and Bounded Hessian
Yifei Pan, Yu Yan
We construct examples of twice differentiable functions in with continuous Laplacian and bounded Hessian. The same construction is also applicable to higher order di…
Examples of Twice Differentiable Functions in with Continuous Laplacian and Unbounded Hessian
Yifei Pan, Yu Yan
We construct examples of twice differentiable functions in with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order…
On local existence of solutions for nonlinear systems of Cauchy-Riemann operator of any order in the plane
Yifei Pan
We prove a general local existence theorem for nonlinear systems of Cauchy-Riemann operator of any order in one complex variable with initial values at a given point, which is a co…