Riesz potential in the local Morrey-Lorentz spaces and some applications
Georgian Mathematical Journal, cilt.27, sa.4, ss.557-567, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 4
- Basım Tarihi: 2020
- Doi Numarası: 10.1515/gmj-2018-0065
- Dergi Adı: Georgian Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.557-567
- Anahtar Kelimeler: Hardy operator, Local Morrey-Lorentz space, Riesz potential
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
© 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.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}})}.