- -

Superposition operators between weighted Banach spaces of analytic functions of controlled growth

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Superposition operators between weighted Banach spaces of analytic functions of controlled growth

Mostrar el registro completo del ítem

Bonet Solves, JA.; Vukotić, D. (2013). Superposition operators between weighted Banach spaces of analytic functions of controlled growth. Monatshefte für Mathematik. 170(3-4):311-323. https://doi.org/10.1007/s00605-012-0441-6

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/40646

Ficheros en el ítem

Metadatos del ítem

Título: Superposition operators between weighted Banach spaces of analytic functions of controlled growth
Autor: Bonet Solves, José Antonio Vukotić, Dragan
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] We characterize the entire functions which transform a weighted Banach space of holomorphic functions on the disc of type H∞ into another such space by superposition. We also show that all the superposition operators ...[+]
Palabras clave: Superposition operators , Weighted Banach spaces , Entire functions
Derechos de uso: Reserva de todos los derechos
Fuente:
Monatshefte für Mathematik. (issn: 0026-9255 ) (eissn: 1436-5081 )
DOI: 10.1007/s00605-012-0441-6
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.1007/s00605-012-0441-6
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2012%2F090/
info:eu-repo/grantAgreement/MICINN//MTM2009-14694-C02-01/ES/Funciones Armonicas Y Analiticas Univalentes Y Teoria De Operadores/
Descripción: The final publication is available at Springer via: http://dx.doi.org/10.1007/s00605-012-0441-6
Agradecimientos:
The research of Bonet was partially supported by MICINN and FEDER Project MTM2010-15200, by GV project Prometeo/2008/101, and by ACOMP/2012/090. The research of Vukotic was partially supported by MICINN grant MTM2009-14694-C02-01, ...[+]
Tipo: Artículo

References

Álvarez, V., Márquez, M.A., Vukotić, D.: Superposition operators between the Bloch space and Bergman spaces. Ark. Mat. 42, 205–216 (2004)

Appell, J., Zabrejko, P.P.: Nonlinear Superposition Operators, Cambridge Tracts in Mathematics 95. Cambridge University Press, London (1990)

Appell, J., Zabrejko, P.P.: Remarks on the superposition operator problem in various function spaces. Complex Var. Elliptic Equ. 55(8–10), 727–737 (2010) [+]
Álvarez, V., Márquez, M.A., Vukotić, D.: Superposition operators between the Bloch space and Bergman spaces. Ark. Mat. 42, 205–216 (2004)

Appell, J., Zabrejko, P.P.: Nonlinear Superposition Operators, Cambridge Tracts in Mathematics 95. Cambridge University Press, London (1990)

Appell, J., Zabrejko, P.P.: Remarks on the superposition operator problem in various function spaces. Complex Var. Elliptic Equ. 55(8–10), 727–737 (2010)

Bierstedt, K.D., Bonet, J., Galbis, A.: Weighted spaces of holomorphic functions on bounded domains. Michigan Math. J. 40, 271–297 (1993)

Bierstedt, K.D., Bonet, J., Taskinen, J.: Associated weights and spaces of holomorphic functions. Studia Math. 127, 137–168 (1998)

Bonet, J., Domański, P., Lindström, M.: Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions. Can. Math. Bull. 42(2), 139–148 (1999)

Bonet, J., Domański, P., Lindström, M., Taskinen, J.: Composition operators between weighted Banach spaces of analytic functions. J. Aust. Math. Soc. (Ser. A) 64, 101–118 (1998)

Boyd, C., Rueda, P.: Holomorphic superposition operators between Banach function spaces. Preprint (2011)

Boyd, C., Rueda, P.: Superposition operators between weighted spaces of analytic functions. Preprint (2011)

Buckley, S.M., Fernández, J.L., Vukotić, D.: Superposition operators on Dirichlet type spaces. In: Papers on Analysis: A Volume dedicaed to Olli Martio on the occasion of his 60th birthday. Rep. Univ. Jyväskyla Dept. Math. Stat, vol. 83, pp. 41–61. Univ. Jyväskyla, Jyväskyla (2001)

Buckley, S.M., Vukotić, D.: Univalent interpolation in Besov spaces and superposition into Bergman spaces. Potential Anal. 29(1), 1–16 (2008)

Cámera, G.A.: Nonlinear superposition on spaces of analytic functions. In: Harmonic Analysis and Operator Theory (Carácas, 1994), Contemp. Math, vol. 189, pp. 103–116. Am. Math. Soc, Providence (1995)

Cámera, G.A., Giménez, J.: The nonlinear superposition operators acting on Bergman spaces. Compositio Math. 93, 23–35 (1994)

Castillo, R.E., Ramos Fernández, J.C., Salazar, M.: Bounded superposition operators between Bloch-Orlicz and $$\alpha $$ -Bloch spaces. Appl. Math. Comp. 218, 3441–3450 (2011)

Dineen, S.: Complex Analysis in Locally Convex Spaces, vol. 57. North-Holland Math. Studies, Amsterdam (1981)

Girela, D., Márquez, M.A.: Superposition operators between $$Q_p$$ spaces and Hardy spaces. J. Math. Anal. Appl. 364, 463–472 (2010)

Grosse-Erdmann, K.-G.: A weak criterion for vector-valued holomorphic functions. Math. Proc. Camb. Publ. Soc. 136, 399–41 (2004)

Harutyunyan, A., Lusky, W.: On the boundedness of the differentiation operator between weighted spaces of holomorphic functions. Studia Math. 184, 233–247 (2008)

Langenbruch, M.: Continuation of Gevrey regularity for solutions of partial differential operators. In: Functional Analysis (Trier, 1994), pp. 249–280. de Gruyter, Berlin (1996)

Levin, B.Ya.: Lectures on Entire Functions. Translations of Mathematical Monographs, vol. 150, Amer. Math. Soc., Providence (1996).

Lusky, W.: On weighted spaces of harmonic and holomorphic functions. J. Lond. Math. Soc. 51, 309–320 (1995)

Lusky, W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175, 19–45 (2006)

Pommerenke, Ch.: Boundary Behaviour of Conformal Maps. Springer, Berlin (1992)

Ramos Fernández, J.C.: Bounded superposition operators between weighted Banach spaces of analytic functions. Preprint, Available from http://arxiv.org/abs/1203.5857

Shields, A.L., Williams, D.L.: Bounded projections, duality and multipliers in spaces of analytic functions. Trans. Am. Math. Soc. 162, 287–302 (1971)

Vukotić, D.: Integrability, growth of conformal maps, and superposition operators, Technical Report 10. Aristotle University of Thessaloniki, Department of Mathematics (2004)

Xiong, C.: Superposition operators between $$Q_p$$ spaces and Bloch-type spaces. Complex Var. Theory Appl. 50, 935–938 (2005)

Xu, W.: Superposition operators on Bloch-type spaces. Comput. Methods Funct. Theory 7, 501–507 (2007)

Zhu, K.: Operator Theory in Function Spaces, 2nd edn. Am. Math. Soc., Providence (2007)

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem