J. A. Pel'aez

collaborators

3 papers

math.CV2026

Hilbert-type operator induced by radial weight

JosÃ© Ãngel PelÃ¡ez, Elena de la Rosa

We consider the Hilbert-type operator defined by $H_{I ¨} (f) (z) = \int_{0}^{1} f (t) (\frac{1}{z} \int_{0}^{z} B^{I ¨} _{t} (u) d u) I ¨ (t) d t,$ where ${B^{I ¨} _{I^} ¶}_{I^¶ \in D}$ are the…

math.CV2026

Littlewood-Paley inequalities for fractional derivative on Bergman spaces

JosÃ© Ãngel PelÃ¡ez, Elena de la Rosa

For any pair $(n, p)$ , $n \in N$ and $0 < p < \infty$ , it has been recently proved that a radial weight $I ¨ $ on the unit disc of the complex plane $D$ satisfies the Litt…

math.FA2025

Bergman projection induced by radial weight

The question of when the Bergman projection $P_{I ¨} $ induced by a radial weight $I ¨ $ on the unit disc is a bounded operator from one space into another is of primordial importance in…