Abstract

Topologies for the space of BV integrable functions in Rⁿ, J. Funct. Anal., 144(1), 1997. 190-231.

We introduce two topologies on the space of BV integrable functions in Rⁿ. Among the studied properties are barelledness and integral representation of linear continuous functionals. In one case we characterize the dual space. We show the relations with the study of multipliers. Finally we also introduce and study a topology on the space of bounded BV functions in Rⁿ.

Topologies for the space of BV integrable functions in Rn, J. Funct. Anal., 144(1), 1997. 190-231.

Topologies for the space of BV integrable functions in Rⁿ, J. Funct. Anal., 144(1), 1997. 190-231.