On the Bohnenblust–Hille Inequality for Multilinear Forms

On the Bohnenblust–Hille Inequality for Multilinear Forms The general versions of the Bohnenblust–Hille inequality for m-linear forms are valid for exponents $$q_{1},\ldots ,q_{m}\in [1,2]$$ q 1 , … , q m ∈ [ 1 , 2 ] . In this paper we show that a slightly different characterization is valid with no restrictions for the range of the parameters, i.e., for $$q_{1},\ldots ,q_{m}\in (0,\infty )$$ q 1 , … , q m ∈ ( 0 , ∞ ) . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

On the Bohnenblust–Hille Inequality for Multilinear Forms

, Volume 72 (2) – Nov 29, 2016
6 pages

/lp/springer_journal/on-the-bohnenblust-hille-inequality-for-multilinear-forms-f0LAUIHvs3
Publisher
Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-016-0628-6
Publisher site
See Article on Publisher Site

Abstract

The general versions of the Bohnenblust–Hille inequality for m-linear forms are valid for exponents $$q_{1},\ldots ,q_{m}\in [1,2]$$ q 1 , … , q m ∈ [ 1 , 2 ] . In this paper we show that a slightly different characterization is valid with no restrictions for the range of the parameters, i.e., for $$q_{1},\ldots ,q_{m}\in (0,\infty )$$ q 1 , … , q m ∈ ( 0 , ∞ ) .

Journal

Results in MathematicsSpringer Journals

Published: Nov 29, 2016

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