Abstract:
We give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree. © 2015 American Mathematical Society.
Registro:
Documento: |
Artículo
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Título: | The bohnenblust-hille inequality combined with an inequality of Helson |
Autor: | Carando, D.; Defant, A.; Sevilla-Peris, P. |
Filiación: | Departamento de Matematica - Pab I, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina IMAS - CONICET, Argentina Institut für Mathematik, Universität Oldenburg, Oldenburg, D-26111, Germany Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Valencia, 46022, Spain
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Palabras clave: | Bohnenblust–Hille inequality; Helson inequality; Polynomials |
Año: | 2015
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Volumen: | 143
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Número: | 12
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Página de inicio: | 5233
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Página de fin: | 5238
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DOI: |
http://dx.doi.org/10.1090/proc/12551 |
Título revista: | Proceedings of the American Mathematical Society
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Título revista abreviado: | Proc. Am. Math. Soc.
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ISSN: | 00029939
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v143_n12_p5233_Carando |
Referencias:
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- Bohnenblust, H.F., Hille, E., On the absolute convergence of Dirichlet series (1931) Ann. of Math, 32 (3), pp. 600-622. , MR1503020
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- Defant, A., Maestre, M., Schwarting, U., Bohr radii of vector valued holomorphic functions (2012) Adv. Math, 231 (5), pp. 2837-2857. , MR2970467
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Citas:
---------- APA ----------
Carando, D., Defant, A. & Sevilla-Peris, P.
(2015)
. The bohnenblust-hille inequality combined with an inequality of Helson. Proceedings of the American Mathematical Society, 143(12), 5233-5238.
http://dx.doi.org/10.1090/proc/12551---------- CHICAGO ----------
Carando, D., Defant, A., Sevilla-Peris, P.
"The bohnenblust-hille inequality combined with an inequality of Helson"
. Proceedings of the American Mathematical Society 143, no. 12
(2015) : 5233-5238.
http://dx.doi.org/10.1090/proc/12551---------- MLA ----------
Carando, D., Defant, A., Sevilla-Peris, P.
"The bohnenblust-hille inequality combined with an inequality of Helson"
. Proceedings of the American Mathematical Society, vol. 143, no. 12, 2015, pp. 5233-5238.
http://dx.doi.org/10.1090/proc/12551---------- VANCOUVER ----------
Carando, D., Defant, A., Sevilla-Peris, P. The bohnenblust-hille inequality combined with an inequality of Helson. Proc. Am. Math. Soc. 2015;143(12):5233-5238.
http://dx.doi.org/10.1090/proc/12551