一类次线性算子在齐型广义Orlicz-Campanato空间上的加权有界性  

Weighted Boundedness of Some Sublinear Operators in Generalized Orlicz-Campanato Spaces of Homogeneous Type

作　　者：张松艳[1] 陈琴琴[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2008年第1期84-88,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(10771110);宁波市自然科学基金(2006A610090)

摘　　要：设X是齐型空间,Φ为Young函数,并设次线性算子T是从LΦ(X,ω)到LΦ(X+,β)有界的.建立了算子T从广义Orlicz-Campanato空间LΦ,φ(X,ω)到LΦ,φ(X+,β)的加权有界性,并特别建立了广义极大算子M的有界性.Let X the homogeneous type space, φ be a Young function, suppose that sublinear operator T is bounded from L^φ（X, ω） to L^φ（X^＋, β）, then it holds that T is weighted and bounded from generalized Orlicz-Campanato space L^φ φ（X, ω） to L^φ φ（X^＋,β）. In particular, the boundedness of generalized maximal operator M^- is also derived.

关 键 词：齐型空间 次线性算子 广义Orlicz-Campanato空间 加权有界性 广义极大算子 

分 类 号：O174.2[理学—数学]