D. Seco

activity

20102026

most citedCyclicity in Dirichlet-type spaces and extremal polynomials

60 citations · 164 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015

Some problems on optimal approximants

Daniel Seco

We present an account of different problems that arise in relation with cyclicity problems in Dirichlet-type spaces, in particular with polynomials $p$ that minimize the norm $\|pf…

math.CV2015

Schatten classes of generalized Hilbert operators

José Ángel Peláez, Daniel Seco

Let $D_{v}$ denote the Dirichlet type space in the unit disc induced by a radial weight $v$ for which $v (r) = \int_{r}^{1} v (s) d s$ satisfies the doubling property $\i…

math.CV2015★ 40 cited

Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants

Catherine Bénéteau, Dmitry Khavinson, Constanze Liaw +2

We study connections between orthogonal polynomials, reproducing kernel functions, and polynomials $p$ minimizing Dirichlet-type norms $∥ p f - 1 ∥_{α}$ for a given function $f$ . For $α…