Boundedness of Riesz potential generated by generalized shift operator on Ba spaces

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ŞERBETÇİ A., Ekincioglu I.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.54, no.3, pp.579-589, 2004 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 54 Issue: 3
• Publication Date: 2004
• Doi Number: 10.1007/s10587-004-6410-z
• Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.579-589
• Keywords: generalized shift operator, Riesz-Bessel transformations
• Open Archive Collection: AVESIS Open Access Collection
• Ankara University Affiliated: Yes

Abstract

In this paper, the boundedness of the Riesz potential generated by generalized shift operator I-Bk(alpha) from the spaces Ba = (L-pm,L-v(R-n(k)),a(m)) to the spaces Ba' (L-qm,L-v(R-n(k)),a(m)(1)) is examined.