Büyük (Grand) Lorentz Uzaylarının Bazı Temel Özellikleri

İlker Eryılmaz; Gökhan Işık

doi:10.31466/kfbd.1272911

Araştırma Makalesi

Some Basic Properties of Grand Lorentz spaces

Yıl 2023, Cilt: 13 Sayı: 4, 1351 - 1360, 15.12.2023

İlker Eryılmaz Gökhan Işık

https://doi.org/10.31466/kfbd.1272911

Öz

The concept of Lebesgue space has been generalized to the large Lebesgue space with non-weight and weight, and the classical Lorentz space concept has been generalized to large Lorentz spaces with a similar logic. In this manuscript, it is demonstrated that there is a Banach function space that is invariant under rearrangements using the maximal function instead of normalizing the large Lorentz spaces with the rearrangement function for . In addition, coverage and inclusion properties in large Lorentz spaces are investigated.

Anahtar Kelimeler

Distribution function, Lorentz space, grand Lorentz space

Kaynakça

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