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

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AYKOL KOCAKUŞAKLI C.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.63, no.2, pp.1-11, 2014 (ESCI, TRDizin)

• Publication Type: Article / Article
• Volume: 63 Issue: 2
• Publication Date: 2014
• Doi Number: 10.1501/commua1_0000000707
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.1-11
• Keywords: Morrey space, modified Morrey space, maximal operator, fractional maximal operator, Riesz potential
• Ankara University Affiliated: Yes

Abstract

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