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Sharp integral estimates for the fractional maximal function and interpolation
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
2006 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 44, no 2, p. 309-326Article in journal (Refereed) Published
Abstract [en]

We give sharp estimates for the fractional maximal function in terms of Hausdorff capacity. At the same time we identify the real interpolation spaces between L 1 and the Morrey space L 1,λ . The result can be viewed as an analogue of the Hardy-Littlewood maximal theorem for the fractional maximal function.

Place, publisher, year, edition, pages
2006. Vol. 44, no 2, p. 309-326
National Category
Tribology (Interacting Surfaces including Friction, Lubrication and Wear) Mathematical Analysis
Research subject
Machine Elements; Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-10435DOI: 10.1007/s11512-006-0019-4ISI: 000244917300007Scopus ID: 2-s2.0-34147220617Local ID: 93d40b50-09ff-11dc-9854-000ea68e967bOAI: oai:DiVA.org:ltu-10435DiVA, id: diva2:983380
Note

Validerad; 2006; 20070524 (ysko)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Kruglyak, NatanKuznetsov, Evgeny

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Arkiv för matematik
Tribology (Interacting Surfaces including Friction, Lubrication and Wear)Mathematical Analysis

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  • de-DE
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