28 citations · 105 across the 20 of their papers we have counts for
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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…
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…
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…
Multilinear Fourier multipliers on variable Lebesgue spaces
Jineng Ren, Wenchang Sun
In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable expo…
Two weight norm inequalities for the bilinear fractional integrals
Kangwei Li, Wenchang Sun
In this paper, we give a characterization of the two weight strong and weak type norm inequalities for the bilinear fractional integrals. Namely, we give the characterization of th…