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变指数空间上的Toeplitz型算子(英文)

Toeplitz-type operators in variable exponent spaces
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摘要 设Tj,1及Tj,2是具有非光滑核的奇异积分算子或者是恒等算子±I.记Toeplitz型算子为Tb=∑Nj=1Tj,1MbTj,2,其中Mbf(x)=b(x)f(x).文章研究与具有非光滑核的奇异积分相关的Toeplitz型算子Tb(f)在变指数空间上的有界性. Let Tj.1 and Tj,2 are singular integral with non-smooth kernel, which assoeiates with an approximation N of identity or ±I ( I is the identity operator), denote the Toeplitz-type operator by Tb=N∑J=1Tj,1MbTj,2 where Mbf(x)=b(x)f(x) . In this paper, we study the boundedness of Toeplitz operator Tb (f) related to singular in- tegral operators with non-smooth kernels in variable exponent spaces.
作者 谢佩珠
出处 《广州大学学报(自然科学版)》 CAS 2012年第6期6-11,共6页 Journal of Guangzhou University:Natural Science Edition
关键词 TOEPLITZ算子 变指数Lebesgue空间 加权不等式 Toeplitz operator variable Lebesgue spaces weighted norm inequalities
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  • 1林燕,陆善镇.与强奇异Calderón-Zygmund算子相关的Toeplitz型算子[J].中国科学(A辑),2006,36(6):615-630. 被引量:10
  • 2KOVACIK O, RAKOSNIK J. On spaces Lp(x) and Wk,p(x) [J]. Czech Math J, 1991,41(4) :592-618.
  • 3DIENING L, HAST0 P, NEKVINDA A. Open problems in variable exponent Lebesgue and Sobolev spaces[ C]. FSDONA 2004 Proc ( Drabek and Rakosnik ( eds. ) ; Milovy, Czech Republic, 2004, 38-58.
  • 4GURKA P, HARJULEHTO P, NEKVINDA A. Bessel potential spaces with variable exponent [ J ]. Math Inequal Appl, 2007, 10:661-676.
  • 5RUZICKA M. Electrorheologieal fluids: modeling and mathematical theory[ M ]. Berlin: Springer-Verlag,2000.
  • 6CHEN Y, LEVINE S, RAO R. Variable exponent,linear growth funetionals in image restoration [ J]. Siam J Appl Math, 2006, 66(4) :1 383-1 406.
  • 7CRUZ-URIBE D, FIORENZA A, MARTELL J M. PEREZ C. The boundedness of classical operators on variable Lp spaces[J]. Ann Acad Sci Fen Math,2006,31 (2) :239-264.
  • 8KRANTZ S, LI S. Boundedness and compactness of integral operators on spaces of homogeneous type and applications Ⅰ[ J ]. J Math Anal Appl, 2001,258(2) :629-641.
  • 9KRANTZ S, LI S. Boundedness and compactness of integral operators on spaces of homogeneous type and applications Ⅱ[ J]. J Math Anal Appl, 2001,258(2) :642-657.
  • 10PEREZ C, TRUJILLO-GONZALEZ R. Sharp weighted estimates for multilinear commutators [ J ]. J London Math Soc, 2002,65 (3) :672-692.

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