<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, the class of maps (with values in a metric linear space) of a bounded generalized variation (bounded generalized weak variation) is described. Connections between those kinds of spaces are investigated.</p></abstract>

In this paper, the class of maps (with values in a metric linear space) of a bounded generalized variation (bounded generalized weak variation) is described. Connections between those kinds of spaces are investigated.

On the generalized variation and generalized weak variation of maps with values in metric linear spaces

Institute of Mathematics Academia Pomeraniensis Arciszewskiego 22b PL–76-200 Słupsk POLAND

Tatra Mountains Mathematical Publications

In this paper, the class of maps (with values in a metric linear space) of a bounded generalized variation (bounded generalized weak variation) is described....

On the generalized variation and generalized weak variation of maps with values in metric linear spaces

Published Online: Nov 12, 2012

Page range: 131 - 148

DOI: https://doi.org/10.2478/v10127-009-0013-x

Keywords
generalized variation, metric linear space.

This content is open access.

On the generalized variation and generalized weak variation of maps with values in metric linear spaces

Published Online: Nov 12, 2012

Page range: 131 - 148

DOI: https://doi.org/10.2478/v10127-009-0013-x

Keywordsgeneralized variation, metric linear space.

This content is open access.

Keywords
generalized variation, metric linear space.