BV-sets, functions and integrals. (English) Zbl 1006.26007

Buczolich, Zoltán

Acta Univ. Carol., Math. Phys. 39, No. 1-2, 99-104 (1998).

Summary: In this survey type talk the main topic is bounded variation (BV). After reviewing some classical concepts and results we turn to the more recent concept of BV-integrals and announce the program made related to the multiplier problem of these Riemann type integrals.

MSC:

26B30	Absolutely continuous real functions of several variables, functions of bounded variation
26A39	Denjoy and Perron integrals, other special integrals

Keywords:

BV-sets; bounded variation; BV-integrals; multiplier problem; Riemann type integrals