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Some new iterated Hardy-type inequalities: The case θ=1
Institute of Mathematics, Academy of Sciences of Czech Republic.
Department of Mathematics, Faculty of Science and Arts, Kirikkale University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2013 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, article id 515Article in journal (Refereed) Published
Abstract [en]

In this paper we characterize the validity of the Hardy-type inequality parallel to parallel to integral(infinity)(s)h(z)dz parallel to(p,u,(0,t))parallel to(q,w,(0,infinity)) <= c parallel to h parallel to(1,v,(0,infinity)), where 0 < p < infinity, 0 < q <= +infinity, u, w and v are weight functions on (0, infinity). It is pointed out that this characterization can be used to obtain new characterizations for the boundedness between weighted Lebesgue spaces for Hardy-type operators restricted to the cone of monotone functions and for the generalized Stieltjes operator.

Place, publisher, year, edition, pages
2013. article id 515
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5985DOI: 10.1186/1029-242X-2013-515Local ID: 42e6518d-2a40-48fa-a674-98da4eefd649OAI: oai:DiVA.org:ltu-5985DiVA: diva2:978861
Note
Godkänd; 2013; 20140120 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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