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Pure Mathematics for Theoretical Computer Science

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Pure Mathematics for Theoretical Computer Science
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Volume 5Issue 1PP: 01-11 • 2025

Weighted Orlicz Spaces in the Context of Double Coset Spaces

Mohammed Mhmood Mohammed 1*
1Department of Mathematics, University of Qom, Qom, Iran
* Corresponding Author.
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: December 10, 2024 Revised: January 07, 2025 Accepted: February 01, 2025

Abstract

In this paper, we introduce a class of weighted Orlicz spaces in the context of double coset spaces related to locally compact hypergroups in some way, which one can study that either these spaces are convolution algebras.

Keywords

Weighted Orlicz Double Coset Spaces

References

[1]       M. M. Rao and Z. D. Ren, “Theory of Orlicz spaces,” 1991.

[2]       I. Akbarbaglu and S. Maghsoudi, “Banach-Orlicz algebras on a locally compact group,” Mediterranean Journal of Mathematics, vol. 10, no. 4, pp. 1937–1947, 2013.

[3]       E. Hewitt and K. A. Ross, Abstract Harmonic Analysis. Vol. II: Structure and Analysis on Locally Compact Groups; Analysis on Locally Compact Abelian Groups. New York, NY, USA: Springer, 1970.

[4]       H. Hudzik, A. Kamiska, and J. Musielak, “On some Banach algebras given by a modular,” in Alfred Haar Memorial Conference, Budapest, Colloquia Mathematica Societatis J anos Bolyai, vol. 49, North Holland, Amsterdam, 1987, pp. 445–463.

[5]       E. Kaniuth, A Course in Commutative Banach Algebras, vol. 246. New York, NY, USA: Springer, 2009.

[6]       M. A. Krasnosel’Skii and Y. B. Rutickii, “Convex Functions and Orlicz Spaces,” Groningen, The Netherlands: P. Noordhoff LTD, 1961.

[7]       Y. N. Kuznetsova, “Weighted L p-algebras on groups,” Functional Analysis and Its Applications, vol. 40, pp. 234–236, 2006.

[8]       Y. N. Kuznetsova, “Invariant Weighted Algebras ℒ pw (G),” Mathematical Notes, vol. 84, pp. 529–537, 2008.

[9]       A. Osancliol and S. Öztop, “Weighted Orlicz algebras on locally compact groups,” Journal of the Australian Mathematical Society, vol. 99, no. 3, pp. 399–414, 2015.

[10]    S. Öztop and S. M. Tabatabaie, “Weighted Orlicz algebras on hypergroups,” Filomat, vol. 34, no. 9, pp. 2991–3002, 2020.

[11]    W. R. Bloom and H. Heyer, Harmonic Analysis of Probability Measures on Hypergroups, vol. 20. Berlin, Germany: Walter de Gruyter, 2011.

[12]    R. I. Jewett, “Spaces with an abstract convolution of measures,” Advances in Mathematics, vol. 18, no. 1, pp. 1–101, 1975.

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Mohammed, Mohammed Mhmood. "Weighted Orlicz Spaces in the Context of Double Coset Spaces." Pure Mathematics for Theoretical Computer Science, vol. Volume 5, no. Issue 1, 2025, pp. 01-11. DOI: https://doi.org/10.54216/PMTCS.050101
Mohammed, M. (2025). Weighted Orlicz Spaces in the Context of Double Coset Spaces. Pure Mathematics for Theoretical Computer Science, Volume 5(Issue 1), 01-11. DOI: https://doi.org/10.54216/PMTCS.050101
Mohammed, Mohammed Mhmood. "Weighted Orlicz Spaces in the Context of Double Coset Spaces." Pure Mathematics for Theoretical Computer Science Volume 5, no. Issue 1 (2025): 01-11. DOI: https://doi.org/10.54216/PMTCS.050101
Mohammed, M. (2025) 'Weighted Orlicz Spaces in the Context of Double Coset Spaces', Pure Mathematics for Theoretical Computer Science, Volume 5(Issue 1), pp. 01-11. DOI: https://doi.org/10.54216/PMTCS.050101
Mohammed M. Weighted Orlicz Spaces in the Context of Double Coset Spaces. Pure Mathematics for Theoretical Computer Science. 2025;Volume 5(Issue 1):01-11. DOI: https://doi.org/10.54216/PMTCS.050101
M. Mohammed, "Weighted Orlicz Spaces in the Context of Double Coset Spaces," Pure Mathematics for Theoretical Computer Science, vol. Volume 5, no. Issue 1, pp. 01-11, 2025. DOI: https://doi.org/10.54216/PMTCS.050101
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