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Glasnik matematički, Vol. 56 No. 2, 2021.

Original scientific paper

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

Continuity of generalized Riesz potentials for double phase functionals with variable exponents

Takao Ohno ; Faculty of Education, Oita University, Dannoharu Oita-city 870-1192, Japan
Tetsu Shimomura ; Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, Higashi-Hiroshima 739-8524, Japan

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page 329-341

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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.

Keywords

Riesz potentials, Morrey spaces, double phase functionals, continuity

Hrčak ID:

267565

URI

https://hrcak.srce.hr/267565

Publication date:

23.12.2021.

Visits: 399 *

Publication date: 31 December 2021

Volume: Vol 56

Issue: Svezak 2

Pages: 329-341

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

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: Riesz potentials, Morrey spaces, double phase functionals, continuity

Continuity of generalized Riesz potentials for double phase functionals with variable exponents

Takao Ohno[1]

Email: t-ohno@oita-u.ac.jp

Tetsu Shimomura[2]

Email: tshimo@hiroshima-u.ac.jp

 

[1] Faculty of Education, Oita University, Dannoharu Oita-city 870-1192, Japan

[2] Department of Mathematics, Graduate School of Humanities and Social Sciences, Hiroshima University, Higashi-Hiroshima 739-8524, Japan

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.

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