Boundedness of the fractional maximal operator in local Morrey-type spaces

Burenkov, Victor, Gogatishvili, A., Guliyev, V. S. and Mustafayev, R. Ch. 2010. Boundedness of the fractional maximal operator in local Morrey-type spaces. Complex Variables and Elliptic Equations 55 (8-10) , pp. 739-758. 10.1080/17476930903394697

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Abstract

The problem of boundedness of the fractional maximal operator M α, 0 ≤ α < n, in general local Morrey-type spaces is reduced to the problem of boundedness of the supremal operator in weighted L p -spaces on the cone of non-negative non-decreasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones.

Item Type:	Article
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	fractional maximal operator, local and global Morrey-type spaces, supremal operator on the cone of monotonic functions, primary
Publisher:	Taylor and Francis
ISSN:	1747-6933
Last Modified:	04 Jun 2017 08:47
URI:	https://orca.cardiff.ac.uk/id/eprint/84901

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