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A New Characterization of Hardy Martingale Cotype Space

Published:2004-12-01
Printed: Dec 2004
• Turdebek N. Bekjan
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Abstract

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: Hardy martingale, Hardy martingale cotype, plurisubharmonic function
 MSC Classifications: 46B20 - Geometry and structure of normed linear spaces 52A07 - Convex sets in topological vector spaces [See also 46A55] 60G44 - Martingales with continuous parameter

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