The Theory of H(b) Spaces, Volume 2

Emmanuel Fricain and Javad Mashreghi

Publisher:

Cambridge University Press

Publication Date:

2016

Number of Pages:

619

Format:

Hardcover

Series:

New Mathematical Monographs 21

Price:

270.00

ISBN:

9781107119413

Category:

Monograph

MAA Review
Table of Contents

[Reviewed by

Steven Deckelman

, on

05/1/2017

]

See the page for volume I.

Preface

16. The spaces M(A) and H(A)
17. Hilbert spaces inside H2
18. The structure of H(b) and H(b̅ )
19. Geometric representation of H(b) spaces
20. Representation theorems for H(b) and H(b̅)
21. Angular derivatives of H(b) functions
22. Bernstein-type inequalities
23. H(b) spaces generated by a nonextreme symbol b
24. Operators on H(b) spaces with b nonextreme
25. H(b) spaces generated by an extreme symbol b
26. Operators on H(b) spaces with b extreme
27. Inclusion between two H(b) spaces
28. Topics regarding inclusions M(a) ⊂ H(b̅) ⊂ H(b)
29. Rigid functions and strongly exposed points of H1
30. Nearly invariant subspaces and kernels of Toeplitz operators
31. Geometric properties of sequences of reproducing kernels
References
Symbols index
Index.