论文标题
双线性分数积分运算符
Bilinear Fractional Integral Operators
论文作者
论文摘要
我们研究了Kenig和Stein考虑的双线性分数积分，其中涉及具有基质系数的变量的线性组合。在更一般的设置下，我们对相应参数进行完整的表征，该参数的双线性分数积分从$ l^{p_1}（\ Mathbb r^{n_1}）\ times l^{p_2}（p_2}（\ Mathbb r^{n_2}} $ l^q（$ l^q））
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 $L^q(\mathbb R^m)$.
