Abstract
Lp(™n)(1<p<∞) 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(™n) boundedness of the singular integral operators implies the Lp(™n) boundedness (1<p<∞) and the weak type (H1(™n),L1(™n)) boundedness for the corresponding commutators. A new interpolation theorem is also established.
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