A. Defant

activity

19992024

most citedThe Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

204 citations · 446 across the 28 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.FA2015★ 1 cited

$L^{p}$ -norms and Mahler's measure of polynomials on the $n$ -dimensional torus

Andreas Defant, Mieczysław Mastyło

We prove Nikol'skii type inequalities which for polynomials on the $n$ -dimensional torus $T^{n}$ relate the $L^{p}$ -with the $L^{q}$ -norm (with respect to the normalized Lebesgu…

math.FA2015

Bohnenblust-Hille inequalities for Lorentz spaces via interpolation

Andreas Defant, Mieczysław Mastyło

We prove that the Lorentz sequence space $ℓ_{\frac{2 m}{m + 1}, 1}$ is, in a~precise sense, optimal among all symmetric Banach sequence spaces satisfying a Bohnenblust-Hille type in…

math.FA2015★ 38 cited

Some polynomial versions of cotype and applications

Daniel Carando, Andreas Defant, Pablo Sevilla-Peris

We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st and cotype, and that spaces having Fourier cotype enjoy our non-linear co…

Lp-norms and Mahler's measure of polynomials on the n-dimensional torus

Bohnenblust-Hille inequalities for Lorentz spaces via interpolation

Some polynomial versions of cotype and applications

$L^{p}$ -norms and Mahler's measure of polynomials on the $n$ -dimensional torus