Tohoku Mathematical Journal
2009
June
SECOND SERIES VOL. 61, NO. 2

Tohoku Math. J.
61 (2009), 225-240

Title CONTINUITY PROPERTIES OF RIESZ POTENTIALS OF ORLICZ FUNCTIONS

Author Yoshihiro Mizuta and Tetsu Shimomura

(Received February 7, 2008, revised September 18, 2008)
Abstract. In this paper we are concerned with Sobolev type inequalities for Riesz potentials of functions in Orlicz classes. As an application, we study continuity properties of Riesz potentials.

2000 Mathematics Subject Classification. Primary 46E35; Secondary 31B15.

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