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The $H^p$ Spaces of an Annulus
eBook ISBN:  9781470400026 
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:  9781470400026 
Product Code:  MEMO/1/56.E 
List Price:  $24.00 
MAA Member Price:  $21.60 
AMS Member Price:  $19.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1965; 78 ppMSC: Primary 30

Table of Contents

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 $H^2_\alpha (A)$

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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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 $H^2_\alpha (A)$

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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