Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

Full text not available from this repository.

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: http://orca-mwe.cf.ac.uk/id/eprint/84901

Citation Data

Cited 72 times in Google Scholar. View in Google Scholar

Cited 70 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item