<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Sobolev spaces on graphs

Name: Sobolev spaces on graphs
Creator: Mikhail I. Ostrovskii
Keywords: 0101 mathematics, Sobolev space on a graph; isoperimetric constant of a graph; Cheeger constant; Banach-Mazur distance, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2005Publisher:National Inquiry Services Center (NISC)Journal:Quaestiones Mathematicae, volume 28, pages 501-523 (issn: 1607-3606, eissn: 1727-933X,

Authors: Mikhail I. Ostrovskii;

doi: 10.2989/16073600509486144

Sobolev spaces on graphs

- Summary
- Subjects
- Metrics

Abstract

The present paper is devoted to discrete analogues of Sobolev spaces of smooth functions. The discrete analogues that we consider are spaces of functions on vertex sets of graphs. Such spaces have applications in Graph Theory, Metric Geometry and Convex Geometry. We present known and prove some new results on Banach-space-theoretical properties of such spaces.Keywords: Sobolev space on a graph; isoperimetric constant of a graph; Cheeger constant; Banach-Mazur distanceQuaestiones Mathematicae 28(2005), 501–523.

Related Organizations

St. John's University
United States

Keywords

Sobolev space on a graph; isoperimetric constant of a graph; Cheeger constant; Banach-Mazur distance

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	23
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Top 10%

Average

Fields of Science

Fields of Science

Upload OA version

Are you the author? Do you have the OA version of this publication?

uploadUpload now!