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On some fractional order Hardy inequalities
Department of Mathematics and Statistics, McMaster University, Hamilton.
Mathematical Institute, Czech Academy of Sciences.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1997 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 1, no 1, 25-46 p.Article in journal (Refereed) Published
Abstract [en]

Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.

Place, publisher, year, edition, pages
1997. Vol. 1, no 1, 25-46 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-15168Local ID: ea74ca90-a180-11db-8975-000ea68e967bOAI: oai:DiVA.org:ltu-15168DiVA: diva2:988141
Note
Godkänd; 1997; 20070111 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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