Inequalities Relative to Vilenkin-Like System
Received:April 10, 2007  Revised:May 21, 2008
Key Words: Hardy space   Vilenkin-Like systems   strong convergence.  
Fund Project:the Foundation of Hubei Educational Committee (No.B20081102).
Author NameAffiliation
ZHANG Xue Ying College of Science, Wuhan University of Science and Technology, Hubei 430065, China 
ZHANG Chuan Zhou College of Science, Wuhan University of Science and Technology, Hubei 430065, China 
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Abstract:
      For bounded Vilenkin-Like system, the inequality is also true:$$(\sum_{k=1}^\infty k^{p-2}|\hat{f}(k)|^p)^{1/p}\leq C\|f\|_{H_p},\quad 0
Citation:
DOI:10.3770/j.issn:1000-341X.2009.03.010
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