Kernel operators with variable intervals of integration in Lebesgue spaces and applications
2010 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, Vol. 13, no 3, 449-510 p.Article in journal (Refereed) Published
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.
Integral operators, Lebesgue spaces, weights, boundedness
IdentifiersURN: urn:nbn:se:uu:diva-134683ISI: 000282293200001OAI: oai:DiVA.org:uu-134683DiVA: diva2:373578