陈晓莉,陈冬香.具有非倍测度的Marcinkiewicz积分交换子的有界性[J].数学年刊A辑,2010,31(3):375~384
具有非倍测度的Marcinkiewicz积分交换子的有界性
The Boundedness of the Commutators for Marcinkiewicz Integrals with Non-doubling Measures
  
DOI:
中文关键词:  RBMO(μ)空间  Lipschitz空间  Marcinkiewicz积分  交换子
英文关键词:
基金项目:国家自然科学基金,江西省自然科学基金,江西师范大学博士启动基金(No.2443)资助的项目
Author NameAffiliationE-mail
CHEN Xiaoli Department of Mathematics, Zhejiang University, Hangzhou 310027, China
School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China. 
littleli chen@163.com 
CHEN Dongxiang School of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China. chendx020@yahoo.com.cn 
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中文摘要:
      证明了具有非倍测度的Marcinkiewicz积分交换子Mb具有(Lp(μ),Lq(μ))有界性,同时也是(L1(μ),Lq,∞(μ))有界.此外,证明了Mb不仅是(Lp(μ),Lip(β-n/p))有界,而且还是(Ln/β(μ),RBMO(μ))的有界算子.
英文摘要:
      
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