28 citations · 105 across the 20 of their papers we have counts for
22 papers
Bilinear Fractional Integral Operators
Ting Chen, Wenchang Sun
We study the bilinear fractional integral considered by Kenig and Stein, where linear combinations of variables with matrix coefficients are involved. Under more general settings,…
Hardy-Littlewood-Sobolev Inequality on Mixed-Norm Lebesgue Spaces
Ting Chen, Wenchang Sun
We consider the Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces. We give a complete characterization of indices and such that the Riesz potentia…
Random phaseless sampling for causal signals in shift-invariant spaces: a zero distribution perspective
Youfa Li, Wenchang Sun
We proved that the phaseless sampling (PLS) in the linear-phase modulated shift-invariant space (SIS) is impossible even though the real-valued…
Bloom Type Inequality: The Off-diagonal Case
Junren Pan, Wenchang Sun
In this paper, we establish a representation formula for fractional integrals. As a consequence, for two fractional integral operators and , we prove a Bloom typ…
Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue space
Yingchun Jiang, Wenchang Sun
The Mixed Lebesgue space is a suitable tool for modelling and measuring signals living in time-space domains. And sampling in such spaces plays an important role for processing hig…
Extension of Multilinear Fractional Integral Operators to Linear Operators on Lebesgue Spaces with Mixed Norms
Ting Chen, Wenchang Sun
In [C. E. Kenig and E. M. Stein, Multilinear estimates and fractional integration, Math. Res. Lett., 6(1):1-15, 1999], the following type of multilinear fractional integral \[ \int…