Glasnik Matematicki, Vol. 56, No. 2 (2021), 329-341. \( \)

CONTINUITY OF GENERALIZED RIESZ POTENTIALS FOR DOUBLE PHASE FUNCTIONALS WITH VARIABLE EXPONENTS

Takao Ohno and Tetsu Shimomura

Faculty of Education, Oita University, Dannoharu Oita-city 870-1192, Japan
e-mail:t-ohno@oita-u.ac.jp

Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, Higashi-Hiroshima 739-8524, Japan
e-mail:tshimo@hiroshima-u.ac.jp

Abstract.   In this note, we discuss the continuity of generalized Riesz potentials \( I_{\rho}f\) of functions in Morrey spaces \(L^{\Phi,\nu(\cdot)}(G)\) of double phase functionals with variable exponents.

2020 Mathematics Subject Classification.   31B15, 46E35

Key words and phrases.   Riesz potentials, Morrey spaces, double phase functionals, continuity

https://doi.org/10.3336/gm.56.2.07

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