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Boundedness of Some Integral Operators

Published online by Cambridge University Press:  20 November 2018

María J. Carro  and
Javier Soria
María J. Carro*
Affiliation:
Departament de Matematiques Univ. Autonoma de Barcelona 08193 Bellatera Barcelona, Spain
Javier Soria*
Affiliation:
Departament de Matematica Aplicada i Analisi Universitat de Barcelona08071 Barcelona Spain, e-mail: soria@cerber.ub.es
*
Current address: Departament de Matematica Aplicada i Analisi Universitat de Barcelona 08071 Barcelona Spain, e-mail: carro@cerber.ub.es
Current address: Departament de Matematica Aplicada i Analisi Universitat de Barcelona 08071 Barcelona Spain, e-mail: carro@cerber.ub.es
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Abstract

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We apply the expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, to obtain as a simple consequence some weighted inequalities for integral operators.

Keywords

42B25

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 6 , 01 December 1993 , pp. 1155 - 1166
Copyright
Copyright © Canadian Mathematical Society 1993

Footnotes

This work has been partially supported by DGICYT grant: PB91-0259

References

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