分数次积分算子在加权LEBESGUE空间和LIPSCHITZ空间的有界性  

BOUNDEDNESS OF THE FRACTIONAL INTEGRAL ON WEIGHTED LEBESGUE AND LIPSCHITZ SPACES

作　　者：王衡庚[1] 

机构地区：[1]华南师范大学数学系,广州510631

出　　处：《华南师范大学学报（自然科学版）》2000年第2期87-91,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金!(199710 13)资助项目

摘　　要：给出了分数次积分算子从加权Lebesgue空间到加权Lipschitz空间有界性的充分条件 。Sufficient conditions are given for fractional integral operater I α to be bounded from weighted weak Legesgue spaces with some range p into another suitable weighted BMO and Lipschitz spaces of order β . Moreover, sufficient and necessary conditions for the boundedness of I α between these spaces are obtained.

关 键 词：分数次积分算子 加权Lebesgue空间 有界性 L空间 

分 类 号：O177.3[理学—数学] O175.5[理学—基础数学]