| 一类次线性算子在齐型广义Orlicz-Campanato空间上的加权有界性 |
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| 引用本文： | 张松艳,陈琴琴. 一类次线性算子在齐型广义Orlicz-Campanato空间上的加权有界性[J]. 宁波大学学报(理工版), 2008, 21(1): 84-88 |
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| 作者姓名： | 张松艳 陈琴琴 |
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| 作者单位： | 宁波大学理学院,浙江,宁波,315211;宁波大学理学院,浙江,宁波,315211 |
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| 基金项目： | 国家自然科学基金 , 浙江省宁波市自然科学基金 |
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| 摘 要： | 设X是齐型空间,Φ为Young函数,并设次线性算子T是从L^Φ（X,ω）到L^Φ（X^＋,β）有界的.建立了算子T从广义Orlicz-Campanato空间L^Φ,φ（X,ω）到L^Φ,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.
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| 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 |
Weighted Boundedness of Some Sublinear Operators in Generalized Orlicz-Campanato Spaces of Homogeneous Type |
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| ZHANG Song-yan,CHEN Qin-qin. Weighted Boundedness of Some Sublinear Operators in Generalized Orlicz-Campanato Spaces of Homogeneous Type[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2008, 21(1): 84-88 |
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| Authors: | ZHANG Song-yan CHEN Qin-qin |
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| Affiliation: | ( Faculty of Science, Ningbo University, Ningbo 315211, China ) |
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| Abstract: | 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. |
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| Keywords: | homogeneous type space sublinear operators generalized Orlicz-Campanato space weighted boundedness generalized maximal operator |
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