2023/103/1-2 (9)
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DOI: 10.5486/PMD.2023.9453
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pp. 171-186
Continuity of Riesz potentials for double phase functionals with variable exponents
Abstract:
We discuss the continuity of variable Riesz potentials $ I_{\alpha(\cdot),\tau}f$ of functions in Morrey spaces $L^{\Phi,\nu(\cdot), \kappa}(X)$ of double phase functions $\Phi(x,t)$ with variable exponents over bounded non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting.
Keywords: Riesz potentials, Morrey spaces, double phase functionals, variable exponents, continuity, non-doubling measure
Mathematics Subject Classification: 31B15, 46E35