Sharp weak-type inequalities for differentially subordinated martingales

Details Sharp weak-type inequalities for differentially subordinated martingales Sharp weak-type inequalities for differentially subordinated martingales

2009-09-04

arxiv.org/abs/0909.0898v1

Bernoulli 2009, Vol. 15, No. 3, 871-897

Mathematics

Probability

Published in at http://dx.doi.org/10.3150/08-BEJ166 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/08-BEJ166

Let $M,N$ be real-valued martingales such that $N$ is differentially subordinate to $M$. The paper contains the proofs of the following weak-type inequalities: (i) If $M\geq0$ and $0

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