Articles liés à Gauge Integrals over Metric Measure Spaces

Gauge Integrals over Metric Measure Spaces - Couverture souple

Singh, Surinder Pal

 
9783639705201: Gauge Integrals over Metric Measure Spaces
Couverture souple
ISBN 10 : 3639705203 ISBN 13 : 9783639705201
Editeur : Scholars' Press, 2014

Synopsis

The main aim of this work is to explore the gauge integrals over Metric Measure Spaces, particularly the McShane and the Henstock-Kurzweil integrals. We prove that the McShane-integral is unaltered even if one chooses some other classes of divisions. We analyze the notion of absolute continuity of charges and its relation with the Henstock-Kurzweil integral. A measure theoretic characterization of the Henstock-Kurzweil integral on finite dimensional Euclidean Spaces, in terms of the full variational measure is presented, along with some partial results on Metric Measure Spaces. We conclude this manual with a set of questions on Metric Measure Spaces which are open for researchers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The main aim of this work is to explore the gauge integrals over Metric Measure Spaces, particularly the McShane and the Henstock-Kurzweil integrals. We prove that the McShane-integral is unaltered even if one chooses some other classes of divisions. We analyze the notion of absolute continuity of charges and its relation with the Henstock-Kurzweil integral. A measure theoretic characterization of the Henstock-Kurzweil integral on finite dimensional Euclidean Spaces, in terms of the full variational measure is presented, along with some partial results on Metric Measure Spaces. We conclude this manual with a set of questions on Metric Measure Spaces which are open for researchers.

Biographie de l'auteur

is working as an Assistant Professor at Department of Mathematics, Guru Nanak Dev University, Amritsar, India. He is a university topper in his Bachelors and Masters, recipient of Prestigious NBHM Scholarships and four academic Medals. He earned his PhD from Indian Institute of Technology, Bombay and specializes in Real Analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2014
Langue
anglais
ISBN 10 
3639705203
ISBN 13 
9783639705201
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
non disponible