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August, 2023 Continuity of Generalized Riesz Potentials for Double Phase Functionals with Variable Exponents over Metric Measure Spaces
Takao Ohno, Tetsu Shimomura
Author Affiliations +
Taiwanese J. Math. 27(4): 813-832 (August, 2023). DOI: 10.11650/tjm/230206

Abstract

Our aim in this paper is to deal with the continuity of generalized Riesz potentials $I_{\rho,\tau} f$ of functions in Morrey spaces $L^{\Phi,\nu(\cdot),\kappa}(X)$ of double phase functionals with variable exponents over bounded non-doubling metric measure spaces. What is new in this paper is that $\rho$ depends on $x \in X$.

Acknowledgments

We would like to express our deep thanks to the referee for carefully reading the manuscript and giving kind comments and useful suggestions.

Citation

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Takao Ohno. Tetsu Shimomura. "Continuity of Generalized Riesz Potentials for Double Phase Functionals with Variable Exponents over Metric Measure Spaces." Taiwanese J. Math. 27 (4) 813 - 832, August, 2023. https://doi.org/10.11650/tjm/230206

Information

Received: 31 October 2022; Revised: 6 December 2022; Accepted: 22 February 2023; Published: August, 2023
First available in Project Euclid: 9 March 2023

MathSciNet: MR4617934
zbMATH: 07734113
Digital Object Identifier: 10.11650/tjm/230206

Subjects:
Primary: 31B15 , 46E35

Keywords: continuity , double phase functionals , Morrey spaces , Non-doubling measure , Riesz potentials , variable exponents

Rights: Copyright © 2023 The Mathematical Society of the Republic of China

Vol.27 • No. 4 • August, 2023
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