Florescu / Godet-Thobie Young Measures and Compactness in Measure Spaces

1. Auflage 2012
ISBN: 978-3-11-028051-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 351 Seiten

Zielgruppe

Graduate and PhD Students, Researchers, and Lecturers in Mathematics; Academic Libraries

Autoren/Hrsg.

Florescu, Liviu C.

Godet-Thobie, Christiane

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Preface 1 Weak Compactness in Measure Spaces
1.1 Measure spaces
1.2 Radon-Nikodym theorem. The dual of L1
1.3 Convergences in L1(l) and ca(A)
1.4 Weak compactness in ca(A) and L1(l)
1.5 The bidual of L1(l)
1.6 Extensions of Dunford-Pettis' theorem 2 Bounded Measures on Topological Spaces
2.1 Regular measures
2.2 Polish spaces. Suslin spaces
2.3 Narrow topology
2.4 Compactness results
2.5 Metrics on the space (Rca+(BT ), T)
2.6 Wiener measure 3 Young Measures
3.1 Preliminaries
3.2 Definitions. Examples
3.3 The stable topology
3.4 The subspace M(S) Y(S)
3.5 Compactness
3.6 Biting lemma
3.7 Product of Young measures
3.8 Jordan finite tight sets
3.9 Strong compactness in Lp(µ,E) References
Index

Über Autor(innen)

Florescu, Liviu C.
Liviu C. Florescu, "Alexandru Ioan Cuza" University, Iasi, Romania;

Godet-Thobie, Christiane
Christiane Godet-Thobie, Université de Bretagne Occidentale, Brest, France.