There exist multilinear Bohnenblust–Hille constants <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msubsup></mml:math> with <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi mathvariant="normal">lim</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>→</mml:mo><mml:mo>∞</mml:mo></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>-Reference-Cited by-同舟云学术

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There exist multilinear Bohnenblust–Hille constants (Cn)n=1∞ with limn→∞(Cn+1−Cn)=0

Published:2013-01 Issue:2 Volume:264 Page:429-463
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Nuñez-Alarcón D.,Pellegrino D.,Seoane-Sepúlveda J.B.,Serrano-Rodríguez D.M.

Publisher

Elsevier BV

Subject

Analysis

Reference43 articles.

1. The need for structure in quantum speedups;Aaronson;Electron. Colloq. Comput. Complex.,2009

2. Supremum norms for quadratic polynomials;Aron;Arch. Math. (Basel),2001

3. The Bohr inequality for ordinary Dirichlet series;Balasubramanian;Studia Math.,2006

4. Maximum modulus of random polynomials;Bayart;Quart. J. Math.,2012

5. The Bohr radius of a Banach space;Blasco,2010

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1. On real-valued homogeneous polynomials with many variables;Proceedings of the American Mathematical Society;2023-05-12

2. Hölder's inequality: some recent and unexpected applications;Bulletin of the Belgian Mathematical Society - Simon Stevin;2017-04-01

3. On the generalized Bohnenblust–Hille inequality for real scalars;Positivity;2017-02-23

4. New Lower Bounds for the Constants in the Real Polynomial Hardy–Littlewood Inequality;Numerical Functional Analysis and Optimization;2016-05-09

5. The optimal constants of the mixed (ℓ1,ℓ2)-Littlewood inequality;Journal of Number Theory;2016-03

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