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

Ohno, Takao; Shimomura, Tetsu

doi:10.3336/gm.56.2.07

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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APA 6th Edition

Ohno, T. & Shimomura, T. (2021). Continuity of generalized Riesz potentials for double phase functionals with variable exponents. Glasnik matematički, 56 (2), 329-341. https://doi.org/10.3336/gm.56.2.07

MLA 8th Edition

Ohno, Takao and Tetsu Shimomura. "Continuity of generalized Riesz potentials for double phase functionals with variable exponents." Glasnik matematički, vol. 56, no. 2, 2021, pp. 329-341. https://doi.org/10.3336/gm.56.2.07. Accessed 3 Apr. 2025.

Chicago 17th Edition

Ohno, Takao and Tetsu Shimomura. "Continuity of generalized Riesz potentials for double phase functionals with variable exponents." Glasnik matematički 56, no. 2 (2021): 329-341. https://doi.org/10.3336/gm.56.2.07

Harvard

Ohno, T., and Shimomura, T. (2021). 'Continuity of generalized Riesz potentials for double phase functionals with variable exponents', Glasnik matematički, 56(2), pp. 329-341. https://doi.org/10.3336/gm.56.2.07

Vancouver

Ohno T, Shimomura T. Continuity of generalized Riesz potentials for double phase functionals with variable exponents. Glasnik matematički [Internet]. 2021 [cited 2025 April 03];56(2):329-341. https://doi.org/10.3336/gm.56.2.07

IEEE

T. Ohno and T. Shimomura, "Continuity of generalized Riesz potentials for double phase functionals with variable exponents", Glasnik matematički, vol.56, no. 2, pp. 329-341, 2021. [Online]. https://doi.org/10.3336/gm.56.2.07

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Abstract

In this note, we discuss the continuity of generalized Riesz potentials $I_{ρ} f$ of functions in Morrey spaces $L^{Φ, ν (\cdot)} (G)$ 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.

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Article information

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 $I_{ρ} f$ of functions in Morrey spaces $L^{Φ, ν (\cdot)} (G)$ of double phase functionals with variable exponents.

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

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

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