On the boundedness of the maximal operator and Riesz potential in the modified Morrey spaces

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Atıf İçin Kopyala

AYKOL KOCAKUŞAKLI C.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.63, sa.2, ss.1-11, 2014 (ESCI)

• 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