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Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions

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Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions

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Jorda Mora, E.; Zarco García, AM. (2013). Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions. Journal of Function Spaces and Applications. 2013:1-6. https://doi.org/10.1155/2013/178460

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Título: Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions
Autor: Jorda Mora, Enrique Zarco García, Ana María
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
For an arbitrary open subset U subset of R-d or U subset of C-d and a continuous function v : U ->]0,infinity[ we show that the space h(v0) (U) of weighed harmonic functions is almost isometric to a (closed) subspace of ...[+]
Palabras clave: Composition operators , Analytic-functions , Bounded projections
Derechos de uso: Reconocimiento (by)
Fuente:
Journal of Function Spaces and Applications. (issn: 2090-8997 ) (eissn: 0972-6802 )
DOI: 10.1155/2013/178460
Editorial:
Hindawi Publishing Corporation
Versión del editor: http://dx.doi.org/10.1155/2012/357210
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/UPV//PAID-06-12/
Agradecimientos:
The authors are grateful to J. Bonet for a lot of ideas and discussions during all this work. They are also indebted to P. Rueda, who besides giving them some references provided them some unpublished work which has inspired ...[+]
Tipo: Artículo

References

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Bierstedt, K. D., Bonet, J., & Galbis, A. (1993). Weighted spaces of holomorphic functions on balanced domains. The Michigan Mathematical Journal, 40(2), 271-297. doi:10.1307/mmj/1029004753

Bonet, J., Dománski, P., & Lindström, M. (1999). Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions. Canadian Mathematical Bulletin, 42(2), 139-148. doi:10.4153/cmb-1999-016-x

Bonet, J., Domański, P., Lindström, M., & Taskinen, J. (1998). Composition operators between weighted Banach spaces of analytic functions. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 64(1), 101-118. doi:10.1017/s1446788700001336

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