An extension of the Muckenhoupt-Wheeden theorem to generalized weighted Morrey spaces
Georgian Mathematical Journal, cilt.28, sa.4, ss.595-610, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 4
- Basım Tarihi: 2021
- Doi Numarası: 10.1515/gmj-2020-2056
- Dergi Adı: Georgian Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.595-610
- Anahtar Kelimeler: Generalized weighted (central) Morrey spaces, fractional maximal operator, Riesz potential, weight
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
© 2020 Walter de Gruyter GmbH, Berlin/Boston 2021.In this paper, we find the condition on a function ω and a weight v which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces p,ω(n,v){{\mathcal{M}}-{p,\omega}({\mathbb{R}}^{n},v)} and generalized weighted central Morrey spaces ˙p,ω(n,v){{\mathcal{M}}-{p,\omega}({\mathbb{R}}^{n},v)}, when v belongs to the Muckenhoupt A∞{A-{\infty}}-class.