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Maximal and Calderón--Zygmund operators on the local variable Morrey--Lorentz spaces and some applications  
Yazarlar
A. Kucukaslan
Academy of Sciences of the Czech Republic, Czech Republic
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
C. Aykol
Ankara Üniversitesi, Turkey
A. Serbetci
Ankara Üniversitesi, Turkey
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.).
Anahtar Kelimeler
42B35 | Calderón--Zygmund operators | Hardy--Littlewood maximal function | Local variable Morrey--Lorentz space | Primary 42B25 | Secondary 47G10
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Applicable Analysis
Dergi ISSN 0003-6811
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 01-2023
Cilt No 102
Sayı 2
Sayfalar 406 / 415
Doi Numarası 10.1080/00036811.2021.1952995