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参数型Marcinkiewicz积分在齐次Morrey—Herz空间上的有界性
引用本文:位瑞英,陶祥兴.参数型Marcinkiewicz积分在齐次Morrey—Herz空间上的有界性[J].宁波大学学报(理工版),2009,22(3):378-382.
作者姓名:位瑞英  陶祥兴
作者单位:1. 宁波大学,理学院,浙江,宁波,315211;韶关学院,数学与信息科学学院,广东,韶关,512005
2. 宁波大学,理学院,浙江,宁波,315211
基金项目:国家自然科学基金,宁波市自然科学基金 
摘    要:证明了带可变核的参数型Marcinkiewicz积分算子μΩρ在齐次Morrey—Herz空间MKp,qα,λ及其在弱齐次Morrey—Herz空间WMKp,1α,λ上的有界性,拓宽了以往的结果.

关 键 词:参数型Marcinkiewicz积分算子  可变核  齐次Morrey-Herz空间

Boundedness of Parametric Marcinkiewicz Integrals with Variable Kernels on Homogeneous Morrey-Herz Spaces
WEI Rui-ying,TAO Xiang-xing.Boundedness of Parametric Marcinkiewicz Integrals with Variable Kernels on Homogeneous Morrey-Herz Spaces[J].Journal of Ningbo University(Natural Science and Engineering Edition),2009,22(3):378-382.
Authors:WEI Rui-ying  TAO Xiang-xing
Institution:WEI Rui-ying , TAO Xiang-xing ( 1 .Faculty of Science, Ningbo University, Ningbo 315211, China; 2.College of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, China )
Abstract:The study is conducted on the continuity of the parametric Marcinkiewicz integrals with variable kernels μΩρ on homogeneous Morrey-Herz spacesMKp,qα,λ and weak Morrey-Herz spacesWMKp,1α,λ which extends results that have been achieved in previous research.
Keywords:parametric Marcinkiewicz integral  variable kernels  homogeneous Morrey-Herz spaces
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