Discrete Bourgain-Morrey spaces

Martha Guzmán-Partida, Luis San MartÌn, Alejandro Villegas-Acuña

Abstract


We address discrete versions of Bourgain-Morrey spaces. We prove some basic properties and intro-
duce several equivalent norms on these spaces. Finally, we analyze the action of a dyadic version of the
Hardy-Littlewood maximal operator on such spaces.

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