A. Merlo

activity

20192021

collaborators

4 papers

math.CA2021

Endpoint Fourier restriction and unrectifiability

Giacomo Del Nin, Andrea Merlo

We show that if a measure of dimension $s$ on $R^{d}$ admits $(p, q)$ Fourier restriction for some endpoint exponents allowed by its dimension, namely $q = \frac{s}{d} p^{'}$ for…

math.MG2021

On rectifiable measures in Carnot groups: representation

Gioacchino Antonelli, Andrea Merlo

This paper deals with the theory of rectifiability in arbitrary Carnot groups, and in particular with the study of the notion of $P$ -rectifiable measure. First, we show t…

math.MG2020

Intrinsically Lipschitz functions with normal target in Carnot groups

Gioacchino Antonelli, Andrea Merlo

We provide a Rademacher theorem for intrinsically Lipschitz functions $ϕ : U \subseteq W \to L$ , where $U$ is a Borel set, $W$ and $L$ are complementary…

math.FA2019

Full non-differentiability sets of typical Lipschitz functions

Andrea Merlo

In this paper we prove that the typical Lipschitz function has no directional derivative at any point of a Borel set $E$ if and only if $E$ is contained in a countable union of clo…