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math.FA2024
The fundamental functions of the canonical basis of Hardy spaces of Dirichlet series
Daniel Carando, Silvia Lassalle, Leandro Milne
Given a frequency , we consider the Hardy spaces of -Dirichlet series and study the asymptotic behavior of the upper and…
math.FA2024
Entropy numbers and box dimension of polynomials and holomorphic functions
Daniel Carando, Carlos D'Andrea, Leodan A. Torres +1
We study entropy numbers and box dimension of (the image of) homogeneous polynomials and holomorphic functions between Banach spaces. First, we see that entropy numbers and box dim…
math.FA2024
Hypercontractivity and strips of convergence in Hardy spaces of general Dirichlet series
Daniel Carando, Andreas Defant, Felipe Marceca +2
For a general Dirichlet series with frequency , we study how horizontal translation (i.e. convolution with a Poisson kernel) improves its integrabi…