Tohoku Mathematical Journal
2017
December
SECOND SERIES VOL. 69, NO. 4

Tohoku Math. J.
69 (2017), 483-495

Title BOUNDEDNESS OF THE MAXIMAL OPERATOR ON MUSIELAK-ORLICZ-MORREY SPACES

Dedicated to Professor Yoshihiro Mizuta on the occasion of his seventieth birthday
Author Fumi-Yuki Maeda, Takao Ohno and Tetsu Shimomura

(Received July 10, 2015, revised October 13, 2015)
Abstract. We give the boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces, which is an improvement of [7, Theorem 4.1]. We also discuss the sharpness of our conditions.

Mathematics Subject Classification. Primary 46E30; Secondary 42B25.
Key words and phrases. Maximal operator, Musielak-Orlicz-Morrey space, variable exponent.

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