Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Superposition operators and functions of bounded p-variation.

Gérard BourdaudMassimo Lanza de CristoforisWinfried Sickel — 2006

Revista Matemática Iberoamericana

We characterize the set of all functions f of R to itself such that the associated superposition operator T: g → f º g maps the class BV (R) into itself. Here BV (R), 1 ≤ p < ∞, denotes the set of primitives of functions of bounded p-variation, endowed with a suitable norm. It turns out that such an operator is always bounded and sublinear. Also, consequences for the boundedness of superposition operators defined on Besov spaces B are discussed....

Page 1

Download Results (CSV)