Discrete Morrey spaces over Z and local estimation of the discrete Hilbert transform
Yazarlar (2)
JV Azizov Ada University, Azerbaycan
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Contemporary Applied Mathematics
Dergi ISSN 2222-5498 Dergi Bilgileri (2026)
Dergi Tarandığı Indeksler SCOPUS, google scholar
Makale Dili İngilizce Basım Tarihi 08-2026
Cilt / Sayı / Sayfa 17 / 1 / 143–177 DOI 10.62476/jcam171.9
Makale Linki https://doi.org/10.62476/jcam171.9
UAK Araştırma Alanları
Matematiksel Analiz
Özet
The aim of this article is to investigate structural properties of discrete Morrey spaces ℓp, λ (Z) and their weak counterparts wℓp, λ (Z). We establish continuous embedding theorems both within the class of discrete Morrey spaces and within weak discrete Morrey spaces, providing explicit conditions on the parameters p and λ. Furthermore, based on a local estimate for the discrete Hilbert transform derived in this work, we prove its strong and weak boundedness on discrete Morrey spaces over Z.
Anahtar Kelimeler
Discrete Morrey space | Embedding discrete Hilbert transform | Sequence space
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 1
Discrete Morrey spaces over Z and local estimation of the discrete Hilbert transform

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