Frontiers of Mathematics in China >
Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces
Received date: 21 Nov 2014
Accepted date: 02 Mar 2015
Published date: 18 Apr 2016
Copyright
This paper is devoted to investigating the bounded behaviors of the oscillation and variation operators for Calderón-Zygmund singular integrals and the corresponding commutators on the weighted Morrey spaces. We establish several criterions of boundedness, which are applied to obtain the corresponding bounds for the oscillation and variation operators of Hilbert transform, Hermitian Riesz transform and their commutators with BMO functions, or Lipschitz functions on weighted Morrey spaces.
Key words： Oscillation; variation; singular integrals; commutators; Morrey spaces; weights
Jing ZHANG , Huoxiong WU . Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces[J]. Frontiers of Mathematics in China, 2016 , 11(2) : 423 -447 . DOI: 10.1007/s11464-015-0462-2
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