Banach Function Space Property of A New Type of Grand Lorentz Spaces
WSEAS Transactions on Mathematics, cilt.22, ss.348-353, 2023 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22
- Basım Tarihi: 2023
- Doi Numarası: 10.37394/23206.2023.22.41
- Dergi Adı: WSEAS Transactions on Mathematics
- Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.348-353
- Anahtar Kelimeler: Banach function space, Distribution function, Grand Lorentz space, Iwaniec-Sbordone space
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
The concept of Lorentz space has been generalized to the grand Lorentz space. In this paper, a new generalization of Lorentz spaces is defined as Lo p, q) ( X, E, μ ) with p > 0 by using the maximal function of a measurable function. Besides an explicit proof of being Banach function space with a rearrangement invariant norm seemed to be missing in the literature. Therefore, the authors provided such proof which can serve as a reference for the next studies and literature and as a fundamental reference for subsequent results.