Foundations of Symmetric Spaces of Measurable Functions: Lorentz, Marcinkiewicz and Orlicz Spaces

Author:   Ben-Zion A. Rubshtein ,  Genady Ya. Grabarnik ,  Mustafa A. Muratov ,  Yulia S. Pashkova
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   45
ISBN:  

9783319427560


Pages:   259
Publication Date:   20 December 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Foundations of Symmetric Spaces of Measurable Functions: Lorentz, Marcinkiewicz and Orlicz Spaces


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Author:   Ben-Zion A. Rubshtein ,  Genady Ya. Grabarnik ,  Mustafa A. Muratov ,  Yulia S. Pashkova
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   45
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.639kg
ISBN:  

9783319427560


ISBN 10:   3319427563
Pages:   259
Publication Date:   20 December 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.​

Reviews

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)


Author Information

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. 

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