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Session S05 - Advances on Spaces of Non-absolutely Integrable Functions and Related Applications

Monday, July 12, 15:30 ~ 16:00 UTC-3

A note on localizable Hardy-Morrey spaces and Fourier transform decay

Marcelo De Almeida

Univeridad Federal de Sergipe, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we reintroduce the localizable Hardy-Morrey spaces establishing an atomic decomposition and decay estimates for Fourier transform motivated by works of D. Goldberg (1979) and J. Hounie and R. Rapp (2009). As application , we study the continuity of pseudodifferential operators in the class $OpS^{0}_{1,\delta}(\mathbb{R}^n)$ for $0 \leq \delta<1$ on localizable Hardy-Morrey spaces {as well as its optimality}.

Joint work with Tiago Picon USP - Ribeir\~ao Preto.

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