activity
20102026
most citedDifferentiability of functions in the Zygmund class

8 citations · 15 across the 12 of their papers we have counts for

collaborators

15 papers

math.AP2026

A note on p-harmonic measure

José González Llorente

Let . We identify the optimal decay exponent of the -harmonic measure for small , where $\mathbb{B}…

math.FA2026

Geometry of quadratic forms over a uniparametric family of squares

J. Llorente, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes +2

We characterize the extreme points of the parametric space of quadratic forms on endowed with the sup norm on the squares with $…

math.CA2026

The Law of the iterated logaritm for smooth functions

José G. Llorente, Artur Nicolau

A version of the Law of the Iterated Logarithm for smooth functions in the upper-half space is proved. As a consequence, we show that certain size conditions on the gradient and th…

math.AP2022

The Liouville theorem for discrete symmetric averaging operators

Tomasz Adamowicz, José G. Llorente

We introduce averaging operators on lattices and study the Liouville property for functions satisfying mean value properties associated to such operators. This frame…

math.AP2020

-harmonic functions by way of intrinsic mean value properties

Ángel Arroyo, José G. Llorente

Let be a bounded domain satisfying the uniform exterior cone condition. We establish existence and uniqueness of continuous solutions of the Dirichlet Proble…

math.CV2019

On the range of harmonic maps in the plane

José G. Llorente

In 1994 J. Lewis obtained a purely harmonic proof of the classical Little Picard Theorem by showing that if the joint value distribution of two entire harmonic functions satisfies…