2 papers
math.CA2020
A decomposition of Calderón--Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus
E. Fernández, L. Roncal
In this note we will show a Calderón--Zygmund decomposition associated with a function . The idea relies on an adaptation of a more general result by J. L.…
math.CA2019
On the absolute divergence of Fourier series in the infinite dimensional torus
E. Fernández, L. Roncal
We present some simple counterexamples, based on quadratic forms in infinitely many variables, showing that the implication $f\in C^{(\infty}(\mathbb{T}^ω)\Longrightarrow\sum_{\bar…