Hardy-Stein identities and square functions for semigroups
Résumé
We prove a Hardy-Stein type identity for the semigroups of symmetric, pure-jump L\'evy processes. Combined with the Burkholder-Gundy inequalities, it gives the $L^p$ two-way boundedness, for $1
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https://hal.science/hal-01485175
Soumis le : mercredi 8 mars 2017-12:13:24
Dernière modification le : vendredi 26 avril 2024-13:18:29
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Identifiants
- HAL Id : hal-01485175 , version 1
- ARXIV : 1506.09007
- DOI : 10.1112/jlms/jdw042
Citer
Rodrigo Bañuelos, Krzysztof Bogdan, Tomasz Luks. Hardy-Stein identities and square functions for semigroups. Journal of the London Mathematical Society, 2015, 94 (2), pp.462 - 478. ⟨10.1112/jlms/jdw042⟩. ⟨hal-01485175⟩
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