What is it about?
Given a Banach function space X, we give necessary and sufficient conditions on X for Doob's inequality and Burkholder's inequality in the weak space w-X to be valid.
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Why is it important?
Our main result give a chracterization of those Banach function space X for which Doo's inequality and Burkholde's inequality to be valid in the weak space w-X.
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This page is a summary of: On Doob’s inequality and Burkholder’s inequality in weak spaces, Collectanea mathematica, September 2015, Springer Science + Business Media,
DOI: 10.1007/s13348-015-0153-z.
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