Open AccessOn the invariance of classes Φ𝐵𝑉,Λ𝐵𝑉 under composition
Author(s) -
Pamela Pierce,
Daniel Waterman
Publication year - 2003
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-03-07129-6
Subject(s) - algorithm , annotation , computer science , artificial intelligence
The necessary and sufficient condition for g ∘ f g \circ f to be in the class Φ B V , Λ B V \Phi BV, \Lambda BV for every f f of that class whose range is in the domain of g g is that g g be in Lip 1 \operatorname {Lip}1 .