Séminaire Analyse Harmonique
Inhomogeneous cancellation conditions in local Hardy spaces and applications
09
Jan. 2024
Jan. 2024
Intervenant : | Claudio Vasconcelos |
Institution : | Université Paris-Saclay, LMO |
Heure : | 14h30 - 15h30 |
Lieu : | Bâtiment 307, salle 2L8 |
In this work, we present a new approach to atoms and molecules in local Hardy spaces $h^p(\mathbb{R}^n)$ for $0<p\leq 1$, where the local vanishing moment condition is relaxed. As applications, we provide necessary and sufficient conditions for the boundedness of inhomogeneous Calderón-Zygmund operators and we prove a local version of Hardy's inequality. Based on joint works with Galia Dafni, Chun Ho Lau and Tiago Picon.