Buch
Foundations of Symmetric Spaces of Measurable Functions
-Lorentz, Marcinkiewicz and Orlicz Spaces-Ben-Zion A. Rubshtein; Genady Ya. Grabarnik; Mustafa A. Muratov; Yulia S. Pashkova
53,49
EUR
Lieferzeit 12-13 Tage
Übersicht
Verlag | : | Springer International Publishing |
Buchreihe | : | Developments in Mathematics (Bd. 45) |
Sprache | : | Englisch |
Erschienen | : | 04. 07. 2018 |
Seiten | : | 259 |
Einband | : | Kartoniert |
Höhe | : | 235 mm |
Breite | : | 155 mm |
Gewicht | : | 583 g |
ISBN | : | 9783319826561 |
Sprache | : | Englisch |
Autorinformation
Ben-Zion A. Rubshtein is a Professor in the Department of Mathematics at Ben Gurion University. His research interests are ergodic theory and probability.
Genady Ya. Grabarnik is an Associate Professor in the Mathematics and Computer Science Department at St. John's University.  His research interest is in functional analysis.
Mustafa A. Muratov is a Professor in the Mathematics and Computer Science Department at Taurida National University. His research interest is in functional analysis.
Yulia S. Pashkova is a Professor in the Mathematics and Computer Science Department at Taurida National University. Her research interest is in dynamical systems and ergodic theory. 
Inhaltsverzeichnis
1.Definition of the symmetric space.- 2.Spaces Lp.- 3.The space L1 ∩ L ∞ .- 4. The space L1+L∞ .- 5. The embedding L1 ∩L∞ ⊆ X ⊆ L1+L∞ ⊆ L0.- 6. Embeddings, Minimality and Separability: The property.- 7. Associated Spaces.- 8. Maximality Properties (B) and (C).- 9. Lorentz spaces.- 10. Quasi-concave functions.- 11. Marcinkiewicz spaces.- 12. Embedding.- 13. Definition and examples of Orlicz spaces.- 14. Separable Orlicz Spaces.- 15. Duality for Orlicz spaces.- 16. Comparison of Orlicz spaces.- 17. The intersection and sum of Orlicz spaces.– Complements.- Index.
Pressestimmen
“This book represents a consistent reference on the basic theory of symmetric spaces of measurable functions also known as rearrangement invariant function spaces. … The text contains many illustrations in order to clarify concepts and make the theory more comprehensive and understandable. … The book is structured in such a way that it should correspond to a one-semester special course of lectures … .” (Santiago Boza, zbMATH 1361.42001, 2017)