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Some new Stein and Hardy type inequalities
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Universidade do Algarve, Campus de Gambelas.
2010 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 169, no 1, p. 113-129Article in journal (Refereed) Published
Abstract [en]

We prove a generalization of the pointwise Stein inequality, considering two truncated versions. More generally than in the Stein inequality, we assume that the kernel is dominated by a radial function almost decreasing after the division by a power function with nonnegative exponent in the case of the truncation to the ball of the radius and almost increasing after the multiplication by a power function in the case of truncation to the exterior of this ball. We give some applications to a series of inequalities of Hardy type in norms of various function spaces, in particular, in the norm of variable exponent Lebesgue spaces with weights.

Place, publisher, year, edition, pages
2010. Vol. 169, no 1, p. 113-129
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-3502DOI: 10.1007/s10958-010-0042-7Local ID: 155ad590-a134-11df-a707-000ea68e967bOAI: oai:DiVA.org:ltu-3502DiVA: diva2:976360
Note
Validerad; 2010; 20100806 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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