J4 ›› 2013, Vol. 48 ›› Issue (10): 78-81.

• Articles • Previous Articles     Next Articles

Boundedness of Littlewood-Paley operators with non-doubling measures

GENG Su-li, ZHAO Kai*, ZHANG Li-ping   

  1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2013-01-08 Published:2013-10-14

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Abstract:

Let μ be a positive Radon measure on Rd which may be non-doubling. The only condition that μ must satisfy is μ(B(x,r))≤C0rn, for x∈Rd,r>0 and some fixed constants C0>0 and 0

Key words: non-doubling measure; Littlewood-Paley operator; Calderón-Zygmund decompsition; boundedness

CLC Number: 

  • O174.2
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