Frontiers of Mathematics in China >
Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions
Received date: 13 Aug 2010
Accepted date: 19 Feb 2011
Published date: 01 Jun 2011
Copyright
This paper presents a weighted L2 estimate with power weights for the maximal operator of commutators generated by compactly supported multipliers and Lipschitz functions. As an application, we study the almost convergence of the commutators, which is generated by the Bochner-Riesz means under the critical index and Lipschitz functions, for functions in Lp (p≥2).
Key words: Maximal operator; commutator; Bochner-Riesz means; Lipschitz function
Shuli GONG , Bolin MA . Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions[J]. Frontiers of Mathematics in China, 2011 , 6(3) : 427 -447 . DOI: 10.1007/s11464-011-0114-0
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