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On Hardy-Steklov and geometric Steklov operators

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

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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
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: http://orca-mwe.cf.ac.uk/id/eprint/81995

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