Jan Vyb'iral

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20082020

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4 papers · 1 filter

math.FA2020

Gelfand numbers of embeddings of Schatten classes

Aicke Hinrichs, Joscha Prochno, Jan Vybíral

Let $0 < p, q \leq \infty$ and denote by $S_{p}^{N}$ and $S_{q}^{N}$ the corresponding Schatten classes of real $N \times N$ matrices. We study the Gelfand numbers of natura…

math.FA2018

Entropy numbers of finite-dimensional embeddings

Marta Kossaczká, Jan Vybíral

Entropy numbers and covering numbers of sets and operators are well known geometric notions, which found many applications in various fields of mathematics, statistics, and compute…

math.FA2015

Volumes of unit balls of mixed sequence spaces

Henning Kempka, Jan Vybíral

The volume of the unit ball of the Lebesgue sequence space $ℓ_{p}^{m}$ is very well known since the times of Dirichlet. We calculate the volume of the unit ball in the mixed norm $\…

math.FA2008

On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case

Jan Vybíral

We discuss the growth envelopes of Fourier-analytically defined Besov and Triebel-Lizorkin spaces $B_{p, q}^{s} (R^{n})$ and $F_{p, q}^{s} (R^{n})$ for $s = σ_{p} = n max (\frac{1}{p} - 1, 0)$ . These res…