Riesz potential and its commutators on Orlicz spaces

Riesz potential and its commutators on Orlicz spaces

Abstract In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I α $I_{\alpha}$ on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1):247-286, 2011) found necessary and sufficient conditions on general Young functio...

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Bibliographic Details
Main Authors: Vagif S Guliyev, Fatih Deringoz, Sabir G Hasanov
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of Inequalities and Applications
Subjects:
Orlicz space
Riesz potential
commutator
BMO
Lipschitz space
Online Access:http://link.springer.com/article/10.1186/s13660-017-1349-4

Internet

http://link.springer.com/article/10.1186/s13660-017-1349-4

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