Convolution of Two Weighted Orlicz Spaces on Hypergroups

Seyyed  Mohammad Tabatabaie; AliReza Bagheri Salec

doi:10.15446/recolma.v54n2.93841

Publicado

2021-01-24

Convolution of Two Weighted Orlicz Spaces on Hypergroups

Convolución de dos espacios de Orlicz con pesos sobre hipergrupos

DOI:

https://doi.org/10.15446/recolma.v54n2.93841

Palabras clave:

Locally compact group, locally compact hypergroup, weighted Orlicz space, Young function, convolution, Banach algebra (en)
Grupos localmente compactos, hipergrupos localmente compactos, espacios de Orlicz con pesos, funci\'on de Young, convolución, álgebras de Banach (es)

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Autores/as

Seyyed Mohammad Tabatabaie University of Qom
AliReza Bagheri Salec University of Qom

Resumen (en)
Resumen (es)

Let K be a locally compact hypergroup. In this paper, among other results we give a sufficient condition for the inclusion L^Φ₁_w (K) * L^Φ₂_w (K) ⊆ L^Φ₁_w (K) to hold. Also, as an application, we provide a new sufficient condition for the weighted Orlicz space L^Φ_w (K) to be a convolution Banach algebra.

Sea K un hipergrupo localmente compacto. En este artículo, entre otros resultados, damos una condición suficiente para que se cumpla la inclusión L^Φ₁_w (K) * L^Φ₂_w (K) ⊆ L^Φ₁_w (K). Como una aplicación de este resultado, logramos dar una nueva condición suficiente para que el espacio de Orlicz con pesos L^Φ_w (K) sea un álgebra de Banach bajo la convolución.

Referencias

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Cómo citar

APA

Tabatabaie, S. . M. y Bagheri Salec, A. (2021). Convolution of Two Weighted Orlicz Spaces on Hypergroups. Revista Colombiana de Matemáticas, 54(2), 117–128. https://doi.org/10.15446/recolma.v54n2.93841

ACM

[1]

Tabatabaie, S. M. y Bagheri Salec, A. 2021. Convolution of Two Weighted Orlicz Spaces on Hypergroups. Revista Colombiana de Matemáticas. 54, 2 (feb. 2021), 117–128. DOI:https://doi.org/10.15446/recolma.v54n2.93841.

ACS

(1)

Tabatabaie, S. . M.; Bagheri Salec, A. Convolution of Two Weighted Orlicz Spaces on Hypergroups. rev.colomb.mat 2021, 54, 117-128.

ABNT

TABATABAIE, S. . M.; BAGHERI SALEC, A. Convolution of Two Weighted Orlicz Spaces on Hypergroups. Revista Colombiana de Matemáticas, [S. l.], v. 54, n. 2, p. 117–128, 2021. DOI: 10.15446/recolma.v54n2.93841. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/93841. Acesso em: 29 may. 2024.

Chicago

Tabatabaie, Seyyed Mohammad, y AliReza Bagheri Salec. 2021. «Convolution of Two Weighted Orlicz Spaces on Hypergroups». Revista Colombiana De Matemáticas 54 (2):117-28. https://doi.org/10.15446/recolma.v54n2.93841.

Harvard

Tabatabaie, S. . M. y Bagheri Salec, A. (2021) «Convolution of Two Weighted Orlicz Spaces on Hypergroups», Revista Colombiana de Matemáticas, 54(2), pp. 117–128. doi: 10.15446/recolma.v54n2.93841.

IEEE

[1]

S. . M. Tabatabaie y A. Bagheri Salec, «Convolution of Two Weighted Orlicz Spaces on Hypergroups», rev.colomb.mat, vol. 54, n.º 2, pp. 117–128, feb. 2021.

MLA

Tabatabaie, S. . M., y A. Bagheri Salec. «Convolution of Two Weighted Orlicz Spaces on Hypergroups». Revista Colombiana de Matemáticas, vol. 54, n.º 2, febrero de 2021, pp. 117-28, doi:10.15446/recolma.v54n2.93841.

Turabian

Tabatabaie, Seyyed Mohammad, y AliReza Bagheri Salec. «Convolution of Two Weighted Orlicz Spaces on Hypergroups». Revista Colombiana de Matemáticas 54, no. 2 (febrero 22, 2021): 117–128. Accedido mayo 29, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/93841.

Vancouver

1.

Tabatabaie SM, Bagheri Salec A. Convolution of Two Weighted Orlicz Spaces on Hypergroups. rev.colomb.mat [Internet]. 22 de febrero de 2021 [citado 29 de mayo de 2024];54(2):117-28. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/93841

Descargar cita

CrossRef Cited-by

4

1. AliReza Bagheri Salec, Seyyed Mohammad Tabatabaie. (2022). Some Necessary and Sufficient Conditions for Convolution Weighted Orlicz Algebras. Bulletin of the Iranian Mathematical Society, 48(5), p.2509. https://doi.org/10.1007/s41980-021-00655-y.

2. Ali Reza Bagheri Salec, Vishvesh Kumar, Seyyed Mohammad Tabatabaie. (2022). Convolution properties of Orlicz spaces on hypergroups. Proceedings of the American Mathematical Society, 150(4), p.1685. https://doi.org/10.1090/proc/15799.

3. Seyyed Mohammad Tabatabaie, Mahdi Latifpour. (2023). Isomorphisms of Orlicz spaces. Forum Mathematicum, 35(1), p.95. https://doi.org/10.1515/forum-2022-0051.

4. Chung-chuan CHEN, Ali Reza BAGHERİ SALEC, Seyed Mohammad TABATABAİE. (2023). Orlicz Algebras Associated to a Banach Function Space. Hacettepe Journal of Mathematics and Statistics, , p.1. https://doi.org/10.15672/hujms.1018098.