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20112026
most citedThe Bohr radius of the -dimensional polydisk is equivalent to

7 citations · 37 across the 24 of their papers we have counts for

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math.FA2012

On very non-linear subsets of continuous functions

G. Botelho, D. Cariello, V. V. Fávaro +2

In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the…

math.FA2012★ 4 cited

On the real polynomial Bohnenblust-Hille inequality

J. R. Campos, P. Jiménez-Rodríguez, G. A. Muñoz-Fernández +2

It was recently proved by Bayart et al. that the complex polynomial Bohnenblust--Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreo…

math.FA2012★ 5 cited

An undecidable case of lineability in R^R

Jose Luis Gamez-Merino, Juan B. Seoane-Sepulveda

Recently it has been proved that, assuming that there is an almost disjoint family of cardinality (2^{\mathfrak c}) in (\mathfrak c) (which is assured, for instance, by either Mart…

math.FA2012★ 4 cited

There exist multilinear Bohnenblust-Hille constants with

Daniel Nunez-Alarcon, Daniel Pellegrino, Juan Seoane-Sepulveda +1

The -linear Bohnenblust-Hille inequality asserts that there is a constant such that the -norm of $(U(e_{i_{^{1}}},...,e_{i_{n}}…

math.FA2012★ 1 cited

Subspaces of maximal dimension contained in

G. Botelho, D. Cariello, V. V. Fávaro +2

Let be a measure space and . In this paper we show that, under quite general conditions, the set is max…

math.FA2012

When is the Haar measure a Pietsch measure for nonlinear mappings?

G. Botelho, D. Pellegrino, P. Rueda +2

We show that, as in the linear case, the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings on closed translation invari…