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Kernel operators with variable intervals of integration in Lebesgue spaces and applications
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2010 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 13, no 3, 449-510 p.Article in journal (Refereed) Published
Abstract [en]

New criteria of L-p - L-q boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0, infinity) boundary functions a(x) and b(x) are obtained for 1 < p <= q < infinity and 0 < q < p < infinity, p > 1. This result is applied for two-weighted L-p - L-q characterization of the corresponding geometric Steklov operator (1.3) and other related problems.

Place, publisher, year, edition, pages
2010. Vol. 13, no 3, 449-510 p.
Keyword [en]
Integral operators, Lebesgue spaces, weights, boundedness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-134683ISI: 000282293200001OAI: oai:DiVA.org:uu-134683DiVA: diva2:373578
Available from: 2010-12-01 Created: 2010-11-30 Last updated: 2017-12-12Bibliographically approved

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Analysis and Applied Mathematics
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Mathematical Inequalities & Applications
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