J4 ›› 2013, Vol. 48 ›› Issue (12): 96-99.

• Articles • Previous Articles     Next Articles

Boundedness of the Littlewood-Paley function g*λ, μ  on the generalized
Morrey spaces with non-doubling measures

SUN Ai-wen, WANG Xiao-shan, SHU Li-sheng   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2013-06-18 Online:2013-12-20 Published:2014-01-09

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Abstract:

Assuming the non-doubling  μ  satisfies some conditions,  its boundedness on the generalized Morrey spaces is discussed according to the boundedness of the Littlewood-Paley function g*λ, μ on the Lp(μ).

Key words: Littlewood-Paley function g*λ, μ; generalized Morrey spaces; non-doubling measures1

CLC Number: 

  • O174.2
[1] GENG Su-li, ZHAO Kai*, ZHANG Li-ping. Boundedness of Littlewood-Paley operators with non-doubling measures [J]. J4, 2013, 48(10): 78-81.
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