Year: 2026
Type: article
Abstract: Some properties of regulated distributions in several variables are studied.It is shown that S, the set of singular points of a regulated distribution, has measure zero.It is also shown that if S, the closure of S, is at most countable, then the function satisfies the intermediate value property.Furthermore, it is proved that functions g for which f = ∇ 1 • • • ∇ d g is regulated and for which S is at most countable satisfy the mean value property of [R.Estrada, A mean value theorem in several variables, Port.Math.
Author: Ricardo Estrada
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7124182533
FWCI:
Cites:
Cited by:
Related to: