J. J. Donaire

activity

20212023

collaborators

3 papers

math.CA2023

Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension

J. Cufí, J. J. Donaire, P. Mattila +1

Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure $μ$ vanishes, then the set of points where the principal value…

math.AP2022

A note on a result of Saks and Zygmund on additive functions of rectangles

Julià Cufí, Juan J. Donaire

We modify the proof of the basic lemma of a paper of Saks and Zygmund on additive functions of rectangles.

math.CA2021

Iterates of Blaschke products and Peano curves

Juan Jesús Donaire, Artur Nicolau

Let $f$ be a finite Blaschke product with $f (0) = 0$ which is not a rotation and let $f^{n}$ be its $n$ -th iterate. Given a sequence ${a_{n}}$ of complex numbers consider $F= \sum…