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The $H^p$ Spaces of an Annulus
| eBook ISBN: | 978-1-4704-0002-6 |
| Product Code: | MEMO/1/56.E |
| List Price: | $24.00 |
| MAA Member Price: | $21.60 |
| AMS Member Price: | $19.20 |
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The $H^p$ Spaces of an Annulus
| eBook ISBN: | 978-1-4704-0002-6 |
| Product Code: | MEMO/1/56.E |
| List Price: | $24.00 |
| MAA Member Price: | $21.60 |
| AMS Member Price: | $19.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1965; 78 ppMSC: Primary 30
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Table of Contents
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Chapters
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Introduction
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Part I
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1. Definitions and immediate properties of the spaces $H^p(A)$ and $H^p(\partial A)$
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2. Jensen’s inequality
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3. Modulus automorphic functions
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4. Blaschke factors and Blaschke products in $\hat {A}$
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5. Harmonic functions in $A$
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6. Modulus automorphic functions of bounded characteristic
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7. The spaces $H^p_\alpha (A)$
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8. The Hilbert spaces $H^2_\alpha (A)$
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Part II
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9. Preliminary remarks on the invariant subspace problem
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10. The subspaces $Is[x]$
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11. The subspaces $Ds[x]$
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12. Completion of the characterization of doubly invariant subspaces
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13. Szegö’s theorem in an annulus
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
Introduction
-
Part I
-
1. Definitions and immediate properties of the spaces $H^p(A)$ and $H^p(\partial A)$
-
2. Jensen’s inequality
-
3. Modulus automorphic functions
-
4. Blaschke factors and Blaschke products in $\hat {A}$
-
5. Harmonic functions in $A$
-
6. Modulus automorphic functions of bounded characteristic
-
7. The spaces $H^p_\alpha (A)$
-
8. The Hilbert spaces $H^2_\alpha (A)$
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Part II
-
9. Preliminary remarks on the invariant subspace problem
-
10. The subspaces $Is[x]$
-
11. The subspaces $Ds[x]$
-
12. Completion of the characterization of doubly invariant subspaces
-
13. Szegö’s theorem in an annulus
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