The Bohnenblust-Hille inequality combined with an inequality of Helson
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- by Daniel Carando, Andreas Defant and Pablo Sevilla-Peris PDF
- Proc. Amer. Math. Soc. 143 (2015), 5233-5238 Request permission
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.References
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Additional Information
- Daniel Carando
- Affiliation: Departamento de Matematica - Pab I, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina – and – IMAS - CONICET, Argentina
- MR Author ID: 621813
- ORCID: 0000-0002-5519-8697
- Email: dcarando@dm.uba.ar
- Andreas Defant
- Affiliation: Institut für Mathematik, Universität Oldenburg, D-26111 Oldenburg, Germany
- Email: andreas.defant@uni-oldenburg.de
- Pablo Sevilla-Peris
- Affiliation: Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, Spain
- MR Author ID: 697317
- ORCID: 0000-0001-5222-4768
- Email: psevilla@mat.upv.es
- Received by editor(s): February 7, 2014
- Published electronically: September 2, 2015
- Additional Notes: The first author was partially supported by CONICET-PIP 0624, PICT 2011-1456 and UBACyT 20020130100474BA
The second author was partially supported by MICINN MTM2011-22417
The third author was supported by MICINN MTM2011-22417 and UPV-SP20120700 - Communicated by: Alexander Iosevich
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 5233-5238
- MSC (2010): Primary 32A05; Secondary 30C10
- DOI: https://doi.org/10.1090/proc/12551
- MathSciNet review: 3411141