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Orlicz spaces and amenability of hypergroups

Vishvesh Kumar (UGent)
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Abstract
In this note, we introduce and study some generalizations of Reiter's condition (P-p) and their modifications in the context of Orlicz spaces. We use these conditions to study amenability of hypergroups. We end this paper with a result for polynomial hypergroups.
Keywords
Amenable hypergroups, Orlicz spaces, Rao-Reiter condition (P-Phi), Rao-Reiter-Lasser condition (RRL - P-Phi), F - Phi(-1)-Reiter's condition (Phi - Phi(-1) - R - P-1), CONVOLUTIONS

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MLA
Kumar, Vishvesh. “Orlicz Spaces and Amenability of Hypergroups.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 46, no. 4, 2020, pp. 1035–43, doi:10.1007/s41980-019-00310-7.
APA
Kumar, V. (2020). Orlicz spaces and amenability of hypergroups. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 46(4), 1035–1043. https://doi.org/10.1007/s41980-019-00310-7
Chicago author-date
Kumar, Vishvesh. 2020. “Orlicz Spaces and Amenability of Hypergroups.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 46 (4): 1035–43. https://doi.org/10.1007/s41980-019-00310-7.
Chicago author-date (all authors)
Kumar, Vishvesh. 2020. “Orlicz Spaces and Amenability of Hypergroups.” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 46 (4): 1035–1043. doi:10.1007/s41980-019-00310-7.
Vancouver
1.
Kumar V. Orlicz spaces and amenability of hypergroups. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. 2020;46(4):1035–43.
IEEE
[1]
V. Kumar, “Orlicz spaces and amenability of hypergroups,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 46, no. 4, pp. 1035–1043, 2020.
@article{8662973,
  abstract     = {{In this note, we introduce and study some generalizations of Reiter's condition (P-p) and their modifications in the context of Orlicz spaces. We use these conditions to study amenability of hypergroups. We end this paper with a result for polynomial hypergroups.}},
  author       = {{Kumar, Vishvesh}},
  issn         = {{1017-060X}},
  journal      = {{BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY}},
  keywords     = {{Amenable hypergroups,Orlicz spaces,Rao-Reiter condition (P-Phi),Rao-Reiter-Lasser condition (RRL - P-Phi),F - Phi(-1)-Reiter's condition (Phi - Phi(-1) - R - P-1),CONVOLUTIONS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1035--1043}},
  title        = {{Orlicz spaces and amenability of hypergroups}},
  url          = {{http://doi.org/10.1007/s41980-019-00310-7}},
  volume       = {{46}},
  year         = {{2020}},
}

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