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arXiv · 2002.01187

Bilinear Fractional Integral Operators

Ting Chen·Wenchang Sun
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Abstract

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, we give a complete characterization of the corresponding parameters for which the bilinear fractional integral is bounded from $L^{p_1}(\mathbb R^{n_1}) \times L^{p_2}(\mathbb R^{n_2})$ to $L^q(\mathbb R^m)$.

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Ting Chen, Wenchang Sun. 2020-02-04. Bilinear Fractional Integral Operators. https://arxiv.org/abs/2002.01187

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