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Sharp Norm Estimates for the BergmanOperator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces

Published online by Cambridge University Press:  20 November 2018

Carme Cascante ,
Joan Fàbrega  and
Joaquín M. Ortega
Carme Cascante
Affiliation:
Dept. Matemática Aplicada i Análisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain e-mail: cascante@ub.edu, joan_fabrega@ub.edu, ortega@ub.edu
Joan Fàbrega
Affiliation:
Dept. Matemática Aplicada i Análisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain e-mail: cascante@ub.edu, joan_fabrega@ub.edu, ortega@ub.edu
Joaquín M. Ortega
Affiliation:
Dept. Matemática Aplicada i Análisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain e-mail: cascante@ub.edu, joan_fabrega@ub.edu, ortega@ub.edu
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Abstract

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In this paper we give sharp norm estimates for the Bergman operator acting from weighted mixed-norm spaces to weighted Hardy spaces in the ball, endowed with natural norms.

Keywords

47B3832A3542B2532A37weighted Hardy spaceBergman operatorsharp norm estimate
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 68 , Issue 6 , 01 December 2016 , pp. 1257 - 1284
Copyright
Copyright © Canadian Mathematical Society 2016

References

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