Adri'an Llinares

activity

20232026

collaborators

5 papers

math.CV2026

Truncated Dirichlet estimates for Bloch functions

Iason Efraimidis, Adrián Llinares, Alejandro Mas

We study the truncated Dirichlet functional \[ Φ_n (f) = \sum_{k = 1}^n k |a_k|^2, \quad f(z) = \sum_{k = 0}^\infty a_k z^k, \] when $f$ belongs to the Bloch space. If $n \geq 27$ ,…

math.CV2026

The norm of the backward shift on $H^{4}$ is $4 φ$

Konstantinos Bampouras, Adrián Llinares

We prove that the backward shift operator on $H^{4}$ has norm equal to $4 φ$ , with $φ = \frac{1 + 5}{2}$ . Furthermore, we characterize all extremal functions; they are pr…

math.CV2026

$A_{α}^{p}$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products

Alberto Dayan, Adrián Llinares, Miguel Monsalve-López

We study properties of $A_{α}^{p}$ spaces in the Dirichlet range, recently defined by Brevig, Kulikov, Seip and Zlotnikov as the set of all holomorphic functions on the unit disc $\mat…

math.FA2024

Critical exponents of the Riesz projection

Ole Fredrik Brevig, Adrián Llinares, Kristian Seip

Let $p_{d} (q)$ denote the critical exponent of the Riesz projection from $L^{q} (T^{d})$ to the Hardy space $H^{p} (T^{d})$ , where $T$ is the unit circle.…

math.CV2023

On the convolution of convex 2-gons

Martin Chuaqui, Rodrigo Hernández, Adrián Llinares +1

We study the convolution of functions of the form \[ f_α(z) := \dfrac{\left( \frac{1 + z}{1 - z} \right)^α- 1}{2 α}, \] which map the open unit disk of the complex plane onto polyg…

Truncated Dirichlet estimates for Bloch functions

The norm of the backward shift on H4 is 4φ​

Aαp​ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products

Critical exponents of the Riesz projection

On the convolution of convex 2-gons

The norm of the backward shift on $H^{4}$ is $4 φ$

$A_{α}^{p}$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products