Marcinkiewicz integral on hardy spaces
Cite this article as: Ding, Y., Lu, S. & Xue, Q. Integr equ oper theory (2002) 42: 174. doi:10.1007/BF01275514 Abstract
In this paper we prove that the Marcinkiewicz integral μ
Ω is an operator of type ( H 1, L 1) and of type ( H 1,∞, L 1,∞). As a corollary of the results above, we obtain again the the weak type (1,1) boundedness of μ Ω, but the smoothness condition assumed on Ω is weaker than Stein's condition. 2000 Mathematics Subject Classification 42B25 42B30
The research was supported partly by Doctoral Programme Foundation of Institution of Higher Education (Grant No. 98002703) of China.
The author was supported partly by NSF of China (Grant No. 19971010).
The author was supported partly by NSF of China (Grant No. 19131080).
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