Compactness properties of commutators of bilinear fractional integrals

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• 作者：árpád Bényi ; Wendolín Damián ; Kabe Moen ; Rodolfo H. Torres
• 关键词：Bilinear operators ; Compact operators ; Singular integrals ; Calderón–Zygmund theory ; Commutators ; Fractional integrals ; Weighted estimates ; Primary 42B20 ; 47B07 ; Secondary 42B25 ; 47G99
• 刊名：Mathematische Zeitschrift
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：280
• 期：1-2
• 页码：569-582
• 全文大小：440 KB
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• 作者单位：árpád Bényi (1)
  Wendolín Damián (2)
  Kabe Moen (3)
  Rodolfo H. Torres (4)
  
  1. Department of Mathematics, Western Washington University, 516 High Street, Bellingham, WA, 98225, USA
  2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080, Sevilla, Spain
  3. Department of Mathematics, University of Alabama, Tuscaloosa, AL, 35487, USA
  4. Department of Mathematics, University of Kansas, Lawrence, KS, 66045, USA
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1823

文摘

Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions of the bilinear Hilbert transform yield separately compact operators.