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Riesz potential in the local Morrey-Lorentz spaces and some applications  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Abdulhamit Kucukaslan
Pamukkale Üniversitesi, Turkey
Canay Aykol
Ankara Üniversitesi, Turkey
Ayhan Serbetci
Ankara Üniversitesi, Turkey
Özet
In this paper, the necessary and sufficient conditions are found for the boundedness of the Riesz potential I α {I_{\alpha}} in the local Morrey-Lorentz spaces M p, q; λ loc ⢠(ââžÂ n) {M_{p,q;{\lambda}}{\mathrm{loc}}({\mathbb{R}{n}})}. This result is applied to the boundedness of particular operators such as the fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups on the local Morrey-Lorentz spaces M p, q; λ loc ⢠(ââžÂ n) {M_{p,q;{\lambda}}{\mathrm{loc}}({\mathbb{R}{n}})}.
Anahtar Kelimeler
Hardy operator | Local Morrey-Lorentz space | Riesz potential
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Georgian Mathematical Journal
Dergi ISSN 1072-947X
Makale Dili İngilizce
Basım Tarihi 12-2020
Cilt No 27
Sayı 4
Sayfalar 557 / 567
Doi Numarası 10.1515/gmj-2018-0065