Two-type Estimates for the Boundedness of Generalized Riesz Potential Operator in the Generalized Weighted Local Morrey Space
TBILISI MATHEMATICAL JOURNAL, cilt.14, sa.4, ss.111-134, 2021 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.3251/asetmj/1932200817
- Dergi Adı: TBILISI MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.111-134
- Anahtar Kelimeler: generalized Riesz potential operator, generalized weighted local Morrey spaces, generalized weighted Morrey spaces, Muckenhoupt-Weeden classes
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
In this paper, we prove the Spanne-type boundedness of the generalized Riesz potential operator from the one generalized weighted local Morrey spaces to the another one, and from the generalized weighted local Morrey spaces to the weak generalized weighted local Morrey spaces. We also prove the Adams-type boundedness of the operator from the weighted spaces to the another one, and from the weighted spaces to the weak weighted spaces.