变量核齐次分数次积分在Morrey空间上的估计
Estimate of Homogeneous Fractional Integral Operator with a Variable Kernel on the Morrey Spaces

利用空间分解技术和核函数估计, 在核函数满足一定的L^s-Dini条件下, 得到了变量核齐次分数次积分T_{Ω, α}是从Morrey空间${{L}^{{\frac{\lambda }{a},\lambda }}}\left( {{\mathbb{R}}.{n}} \right)$ 到BMO($\mathbb{R}$ ⁿ)上的有界算子, 同时从L^{p, λ}($\mathbb{R}$ ⁿ)到Campanato空间也是有界的.
Using partial decomposition technique and kernel function estimation, under some L^s-Dini conditions of the kernel functions, we obtain that the homogeneous fractional integral operator with the variable kernel T_{Ω, α} is bounded from the Morrey spaces ${{L}^{{\frac{\lambda }{a}},\lambda }}\left( {{\mathbb{R}}.{n}} \right)$ to BMO ($\mathbb{R}$ ⁿ), and also from L^{p, λ}($\mathbb{R}$ ⁿ) to a class of the Campanato spaces