Tohoku Mathematical Journal
2025
December
SECOND SERIES VOL. 77, NO. 4

Tohoku Math. J.
77 (2025), 583-600

Title INTEGRABILITY FOR RIESZ POTENTIALS IN HERZ-MORREY-ORLICZ SPACES

Author Yoshihiro Mizuta and Tetsu Shimomura

(Received September 16, 2022, revised February 28, 2024)
Abstract. We discuss integrability for Riesz potentials of functions in Herz-Morrey-Orlicz spaces. We also give Trudinger-type exponential integrability for Riesz potentials of functions in Herz-Morrey-Orlicz spaces.

Mathematics Subject Classification. Primary 46E30; Secondary 31B15.
Key words and phrases. Morrey integrability, Trudinger exponential Morrey integrability, maximal operator, Riesz potentials, Herz-Morrey-Orlicz space.

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