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Marcinkiewicz积分在非齐型Morrey-Herz空间中的有界性
引用本文:武江龙,刘庆国.Marcinkiewicz积分在非齐型Morrey-Herz空间中的有界性[J].数学的实践与认识,2012,42(9):196-202.
作者姓名:武江龙  刘庆国
作者单位:1. 牡丹江师范学院理学院,黑龙江牡丹江,157011
2. Laboratory for Multiphase Processes, University of Nova Gorica, Nova Gorica 5000 Slovenia
基金项目:黑龙江省自然科学基金,国家自然科学基金
摘    要:在非齐型Morrey-Herz空间MK_(p,q)~(α,λ)(μ)中建立了Marcinkiewicz积分算子的有界性,并给出了相应的端点估计.

关 键 词:Marcinkiewicz积分  Morrey-Herz空间  非二倍测度

Boundedness of Marcinkiewicz Integral on Morrey-Herz Spaces with Non-Doubling Measures
WU Jiang-long , LIU Qing-guo.Boundedness of Marcinkiewicz Integral on Morrey-Herz Spaces with Non-Doubling Measures[J].Mathematics in Practice and Theory,2012,42(9):196-202.
Authors:WU Jiang-long  LIU Qing-guo
Institution:1.College of Science,Mudanjiang Normal University,Mudanjiang 157011,China) (2.Laboratory for Multiphase Processes,University of Nova Gorica,Nova Gorica 5000 Slovenia)
Abstract:In this paper,we establish the boundedness of Maxcinkiewicz integral on homogeneous Morrey-Herz spaces with non-doubling measures,and the end-point case is also considered.
Keywords:Marcinkiewicz integral  Morrey-Herz space  non-doubling measure
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