Article

Integral Equations and Operator Theory

, Volume 57, Issue 3, pp 381-396

Boundedness of Commutators on Hardy-Type Spaces

  • Yan LinAffiliated withSchool of Mathematical Sciences, Beijing Normal University
  • , Shanzhen LuAffiliated withSchool of Mathematical Sciences, Beijing Normal University Email author 

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Abstract.

In this paper, the boundedness of the commutator generated by strongly singular Calderón-Zygmund operator and a Lipschitz function is discussed on the classical Hardy spaces and the Herz-type Hardy spaces. The authors also get the boundedness of the strongly singular Calderón-Zygmund operator itself and the commutator generated by strongly singular Calderón-Zygmund operator and a BMO function on the Herz-type Hardy spaces.

Mathematics Subject Classification (2000).

Primary 42B20 Secondary 42B30

Keywords.

Strongly singular Calderón-Zygmund operator commutator Lip-schitz space Hardy space Herz-type Hardy space BMO