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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 18, Fasc. 1,
pages 133 - 148
 

WEAK MARTINGALE HARDY SPACES

Ferenc Weisz

Abstract: Weak martingale Hardy spaces generated by an operator T are investigated. The concept of weak atoms is introduced and an atomic decomposition of the space wHT p is given if the operator T is predictable. Martingale inequalities between weak Hardy spaces generated by two different operators are considered. In particular, we obtain inequalities for the maximal function, for the q -variation, and for the conditional q -variation. The duals of the weak Hardy spaces generated by these special operators are characterized.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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