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math.CA2020
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,…
math.CA2019
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…
math.CA2019
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…