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Hardy operators on weighted amalgams

Published online by Cambridge University Press:  04 February 2010

Pedro Ortega Salvador  and
Consuelo Ramírez Torreblanca
Pedro Ortega Salvador
Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain, (portega@uma.es)
Consuelo Ramírez Torreblanca
Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Córdoba, Córdoba, Spain, (ma1ratoc@uco.es)
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Abstract

We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type inequalities for modified Hardy operators on amalgams.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 1 , February 2010 , pp. 175 - 188
Copyright
Copyright © Royal Society of Edinburgh 2010

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