Year: 2024
Type: article
Abstract: We obtain a necessary and sufficient condition on the Haar coefficients of a real function f defined on R + for the Lipschitz α regularity of f with respect to the ultrametric δ(x, y) = inf{|I| : x, y ∈ I; I ∈ D}, where D is the family of all dyadic intervals in R + and α is positive.Precisely, f ∈ Lip δ (α) if and only if f, h j k ≤ C2 -(α+ 1 2 )j , for some constant C, every j ∈ Z and every k = 0, 1, 2, . . .Here, as usual h
DOI: 10.33044/revuma.3574
Authors: Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez
Language: Spanish
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4392428167