Llog log L versions of Stein's and Zygmund's theorems for the Hardy space H^log(ℝ^d)

2019/05/31 by Bakas, Odysseas, Rodríguez-López, Salvador, Sola, Alan
#42B25 (primary) #42B35 #46E30 (secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.13477

Abstract

We obtain versions of some classical results of Zygmund and Stein for functions belonging to the Hardy space H^log (ℝ^d) introduced by Bonami, Grellier, and Ky. We present further applications in the context of more general Orlicz spaces.

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