%0 Journal Article
%T 变量核齐次分数次积分在Morrey空间上的估计<br>Estimate of Homogeneous Fractional Integral Operator with a Variable Kernel on the Morrey Spaces
%A 陶双平
%A 刘钰琦&lt
%A br&gt
%A TAO Shuang-ping
%A LIU Yu-qi
%J 西南大学学报(自然科学版)
%D 2017
%R 10.13718/j.cnki.xdzk.2017.12.008
%X 利用空间分解技术和核函数估计, 在核函数满足一定的<i>L</i><sup><i>s</i></sup>-Dini条件下, 得到了变量核齐次分数次积分<i>T</i><sub><i>Ω</i>, <i>α</i></sub>是从Morrey空间<inline-formula>${{L}^{{\frac{\lambda }{a},\lambda }}}\left( {{\mathbb{R}}.{n}} \right)$</inline-formula>
		到BMO(<inline-formula>$\mathbb{R}$</inline-formula>
		<sup><i>n</i></sup>)上的有界算子, 同时从<i>L</i><sup><i>p</i>, <i>λ</i></sup>(<inline-formula>$\mathbb{R}$</inline-formula>
		<sup><i>n</i></sup>)到Campanato空间<img src='PIC/xndxxbzrkxb-39-12-52-M1.jpg'/>也是有界的.<br>Using partial decomposition technique and kernel function estimation, under some <i>L</i><sup><i>s</i></sup>-Dini conditions of the kernel functions, we obtain that the homogeneous fractional integral operator with the variable kernel <i>T</i><sub><i>Ω</i>, <i>α</i></sub> is bounded from the Morrey spaces <inline-formula>${{L}^{{\frac{\lambda }{a}},\lambda }}\left( {{\mathbb{R}}.{n}} \right)$</inline-formula>
 to BMO (<inline-formula>$\mathbb{R}$</inline-formula>
 <sup><i>n</i></sup>), and also from L<sup>p, λ</sup>(<inline-formula>$\mathbb{R}$</inline-formula>
 <sup><i>n</i></sup>) to a class of the Campanato spaces <img src='PIC/xndxxbzrkxb-39-12-52-M1.jpg'/>
%K 变量核
%K 齐次分数次积分算子
%K Morrey空间
%K Campanato空间&lt
%K br&gt
%K variable kernel
%K homogeneous fractional integral operator
%K Morrey space
%K Campanato space
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/12/201712008.htm