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:	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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