安徽大学学报（自然科学版）
安徽大學學報（自然科學版）
안휘대학학보（자연과학판）
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2015年
1期
21-24
,共4页
加权 Morrey 空间%分数次积分算子%变量核
加權 Morrey 空間%分數次積分算子%變量覈
가권 Morrey 공간%분수차적분산자%변량핵
weighted Morrey spaces%fractional integral operators%variable kernel
利用核函数Ω的性质，考虑了带变量核的分数次积分算子TΩ，α在加权Morrey空间上的有界性，证明了当Ω满足零阶齐次条件与消失距条件时，带变量核的分数次积分TΩ，α是从Lp，k（ωp，ωq）到Lq，kq／p（ωq）的有界算子，从而推广了以往非变量核的相关结果。
利用覈函數Ω的性質，攷慮瞭帶變量覈的分數次積分算子TΩ，α在加權Morrey空間上的有界性，證明瞭噹Ω滿足零階齊次條件與消失距條件時，帶變量覈的分數次積分TΩ，α是從Lp，k（ωp，ωq）到Lq，kq／p（ωq）的有界算子，從而推廣瞭以往非變量覈的相關結果。
이용핵함수Ω적성질，고필료대변량핵적분수차적분산자TΩ，α재가권Morrey공간상적유계성，증명료당Ω만족령계제차조건여소실거조건시，대변량핵적분수차적분TΩ，α시종Lp，k（ωp，ωq）도Lq，kq／p（ωq）적유계산자，종이추엄료이왕비변량핵적상관결과。
By using the properties of the function Ω ,the weighted boundedness results on the Morrey spaces were considered for the fractional integral operators TΩ ,α with variable kernels .It was showed that the TΩ ,α were bounded operators from L p ,k (ωp ,ωq ) to L q ,kq/p (ωq ) when it met the zero order homogeneous conditions and vanishing moment condition ,which extended no‐variable kernel results that had been achieved in previous research .
