Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications
    
Yazarlar (4)
A. Kucukaslan
Academy Of Sciences Of The Czech Republic, Çek Cumhuriyeti
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
C. Aykol
Ankara Üniversitesi, Türkiye
A. Serbetci
Ankara Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Applicable Analysis (Q2)
Dergi ISSN 0003-6811 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 03-2023
Cilt / Sayı / Sayfa 102 / 2 / 406–415 DOI 10.1080/00036811.2021.1952995
Makale Linki https://www.tandfonline.com/doi/full/10.1080/00036811.2021.1952995
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
Local variable Morrey-Lorentz space | Hardy-Littlewood maximal function | Calderon-Zygmund operators