Some polynomial versions of cotype and applications

DOI10.1016/j.jfa.2015.09.017zbMath1335.46038arXiv1503.00850OpenAlexW1878875441MaRDI QIDQ892679

Andreas Defant, Daniel Carando, Pablo Sevilla-Peris

Publication date: 11 November 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00850

zbMATH Keywords

cotypelocal unconditional structure\(\ell_1\)-multipliers for vector-valued Dirichlet seriesFourier cotypehypercontractive homogeneous cotype

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) (Spaces of) multilinear mappings, polynomials (46G25) Dirichlet series, exponential series and other series in one complex variable (30B50) Hardy spaces (30H10)

Related Items

Almost sure-sign convergence of Hardy-type Dirichlet series, Optimal comparison of the \(p\)-norms of Dirichlet polynomials, Decoupling inequalities with exponential constants, Hausdorff–Young-type inequalities for vector-valued Dirichlet series, A note on abscissas of Dirichlet series

Cites Work

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• \(L^p\)-norms and Mahler's measure of polynomials on the \(n\)-dimensional torus
• Hardy spaces of Dirichlet series and their composition operators
• Bohr radii of vector valued holomorphic functions
• Bohr's strip for vector valued Dirichlet series
• Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces
• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• Bounded linear operators between \(C^*\)-algebras
• Bohr's absolute convergence problem for \(\mathcal{H}_p\)-Dirichlet series in Banach spaces
• Bilinear interpolation theorems and applications
• CONVERGENCE OF MONOMIAL EXPANSIONS IN BANACH SPACES
• Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Sharp Fourier type and cotype with respect to compact semisimple Lie groups
• Vector-valued Hausdorff–Young inequality on compact groups
• History of Banach Spaces and Linear Operators