Maximal and Calderón-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

0583252 - MÚ 2024 RIV GB eng J - Journal Article
Kucukaslan, Abdulhamit - Guliyev, V. S. - Aykol, C. - Serbetci, A.
Maximal and Calderón-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications.
Applicable Analysis. Roč. 102, č. 2 (2023), s. 406-415. ISSN 0003-6811. E-ISSN 1563-504X
Institutional support: RVO:67985840
Keywords : Calderón-Zygmund operators * Hardy-Littlewood maximal function * local variable Morrey-Lorentz space
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1080/00036811.2021.1952995

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.).
Permanent Link: https://hdl.handle.net/11104/0351257