Burenkov, Victor V., Jain, P. and Tararykova, Tamara 2007. On Hardy-Steklov and geometric Steklov operators. Mathematische Nachrichten 280 (11) , pp. 1244-1256. 10.1002/mana.200410550 |
Official URL: http://dx.doi.org/10.1002/mana.200410550
Abstract
A new (non-Muckenhoupt type) weight characterization for the boundedness of the general Hardy–Steklov operator is obtained in the case 1 < p ≤ q < ∞. The estimates obtained for the norm of the Hardy–Steklov operator allow the limiting procedure and as a result the boundedness of the corresponding geometric Steklov operator is investigated.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Uncontrolled Keywords: | Hardy inequality; Hardy−Steklov operator; geometric Steklov operator; geometric mean inequalities |
Publisher: | Wiley-VCH Verlag GmbH & Co KGaA |
ISSN: | 0025-584X |
Last Modified: | 25 Dec 2017 20:24 |
URI: | https://orca.cardiff.ac.uk/id/eprint/81995 |
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