On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces.

Burenkov, Victor, Guliyev, H. V. and Guliyev, V. S. 2007. On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces. Presented at: International School-Conference on Analysis and Geometry, Novosibirsk, Russia, 23 August-3 September 2004. Published in: Burenkov, Victor, Iwaniec, T and Vodopyanov, S.K eds. Interaction of Analysis and Geometry. Interaction of Analysis and Geometry. Contemporary Mathematics Series. , vol.424 American Mathematical Society, pp. 17-32.

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Abstract

The problem of boundedness of the fractional maximal operator M-alpha from complementary Morrey-type spaces to Mortey-type spaces is reduced to the problem of boundedness of the dual Hardy operator in weighted L-p-spaces on the cone of non-negative non-increasing functions, which allows obtaining sharp sufficient conditions for boundedness of M-alpha.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	American Mathematical Society
ISBN:	9780821840603
ISSN:	0271-4132
Last Modified:	04 Jun 2017 08:47
URI:	https://orca.cardiff.ac.uk/id/eprint/84912

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