Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 545-554.

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ON THE COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

 HU Guo-En   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    This research was supported by the NNSF of China (10271015)

Abstract:

Lp(Rn) (1 < p < 1) boundedness and a weak type endpoint estimate are
considered for the commutators of singular integral operators. A condition on the associated
kernel is given under which the L2(Rn) boundedness of the singular integral operators
implies the Lp(Rn) boundedness (1 < p < 1) and the weak type (H1(Rn), L1(Rn))
boundedness for the corresponding commutators. A new interpolation theorem is also
established.

Key words: Commutator;singular integral operators;BMO(Rn), interpolation

CLC Number: 

  • 42B20
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