尤俊丽,史亚丹,刘岚喆.平均振荡和相关于具有非光滑核的分数阶和奇异积分算子的Toeplitz型算子的有界性[J].数学年刊A辑,2024,45(3):319~332
平均振荡和相关于具有非光滑核的分数阶和奇异积分算子的Toeplitz型算子的有界性
Mean Oscillation and Boundedness of Toeplitz Type Operator Related to Fractional and Singular Integral Operators with Non-Smooth Kernels on Orlicz Space
  
DOI:10.16205/j.cnki.cama.2024.0023
中文关键词:  Toeplitz型算子  分数阶和奇异积分算子  非光滑核  BMO空间  Orlicz空间  
英文关键词:Toeplitz type operator  Fractional and singular integral operator  Non-smooth kernel  BMO space  Orlicz space
基金项目:
Author NameAffiliation
YOU Junli School of General Education,Hunan University of Information and Technology,Changsha 410151,China. 
SHI Yadan 湖南信息学院通识教育学院 
LIU Lanzhe 湖南信息学院通识教育学院 
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中文摘要:
      本文对相关于具有非光滑核的分数阶和奇异积分算子的Toeplitz型算子证明了其从Lebesgue空间到Orlicz空间的有界性.
英文摘要:
      In this paper,the boundedness from Lebesgue space to Orlicz space of the Toeplitz type operator related to the fractional and singular integral operators with nonsmooth kernels is obtained.
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