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BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES
作者姓名:Chunlei  He  Lisheng  Shu
作者单位:Dept. of Math. Anhui Normal University Wuhu, 241000 P. R. China
摘    要:Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces.

关 键 词:HARDY空间  分数积分算子  换向器  BMO空间
收稿时间:2004-12-30

Boundedness of higher order commutators of generalized fractional integral operators on Hardy spaces
Chunlei He Lisheng Shu.BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES[J].Analysis in Theory and Applications,2005,21(3):249-257.
Authors:Chunlei He  Lisheng Shu
Institution:(1) Dept. of Math., Anhui Normal University, 241000 Wuhu, P. R. China
Abstract:Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces.
Keywords:(θ - N)-type fractional integral operator  commutator  BMO space  Hardy space  Herz-type Hardy space  atom  HARDY SPACES  OPERATORS  FRACTIONAL INTEGRAL  GENERALIZED  COMMUTATORS  HIGHER ORDER  Hardy spaces  study  boundedness  paper  BMO function  higher order  commutator  generalized  fractional integral operator
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