On the boundedness of the maximal operator and Riesz potential in the modified Morrey spaces
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.63, sa.2, ss.1-11, 2014 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 63 Sayı: 2
- Basım Tarihi: 2014
- Doi Numarası: 10.1501/commua1_0000000707
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1-11
- Anahtar Kelimeler: Morrey space, modified Morrey space, maximal operator, fractional maximal operator, Riesz potential
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper we prove the boundedness of the maximal operator M and give the necessary and sufficient conditions for the boundedness of Riesz potential operator I-alpha in the modified Morrey spaces by using Guliyev method