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Banach envelopes of some quasi-Banach function spaces

Anna Kamińska; Damian Kubiak — 2016

Commentationes Mathematicae

We show that under some assumptions on the Musielak−Orlicz function generating a quasi-Banach Musielak−Orlicz function space, the Banach envelope of the weighted Cesàro−Musielak−Orlicz space generated by a certain positive sublinear operator is a weighted $L_{1}$ -space.

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