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A New Characterization of Hardy Martingale Cotype Space

Published online by Cambridge University Press:  20 November 2018

Turdebek N. Bekjan
Turdebek N. Bekjan*
Affiliation:
College of Mathematics and Systems Science Xinjiang University Urumqi 830046 China, e-mail: bek@xju.edu.cn
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Abstract

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We give a new characterization of Hardy martingale cotype property of complex quasi-Banach space by using the existence of a kind of plurisubharmonic functions. We also characterize the best constants of Hardy martingale inequalities with values in the complex quasi-Banach space.

Keywords

46B2052A0760G44Hardy martingaleHardy martingale cotypeplurisubharmonic function
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 481 - 491
Copyright
Copyright © Canadian Mathematical Society 2004

References

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