Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications
Applicable Analysis, cilt.102, sa.2, ss.406-415, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 102 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.1080/00036811.2021.1952995
- Dergi Adı: Applicable Analysis
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.406-415
- Anahtar Kelimeler: Local variable Morrey-Lorentz space, Hardy-Littlewood maximal function, Calderon-Zygmund operators
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Evet
Özet
In this paper, we give the definition of local variable Morrey–Lorentz spaces (Formula presented.) which are a new class of functions. Also, we prove the boundedness of the Hardy–Littlewood maximal operator M and Calderón–Zygmund operators T on these spaces. Finally, we apply these results to the Bochner–Riesz operator (Formula presented.), identity approximation (Formula presented.) and the Marcinkiewicz operator (Formula presented.) on the spaces (Formula presented.).