Remarks on Vector-valued BMOA and Vector-valued Multipliers

Remarks on Vector-valued BMOA and Vector-valued Multipliers In this paper we consider the vector-valued interpretation of the space BMOA defined in terms of Carleson measures and analyze the relationship with the one defined in terms of oscillation. We study the space of multipliers between H p and BMOA in the vector-valued setting. This leads us to the consideration of some geometric properties depending upon the validity of certain inequalities due to Littlewood and Paley on the g-function for vector-valued functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Remarks on Vector-valued BMOA and Vector-valued Multipliers

Positivity , Volume 4 (4) – Oct 14, 2004
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2000 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009890316575
Publisher site
See Article on Publisher Site

Abstract

In this paper we consider the vector-valued interpretation of the space BMOA defined in terms of Carleson measures and analyze the relationship with the one defined in terms of oscillation. We study the space of multipliers between H p and BMOA in the vector-valued setting. This leads us to the consideration of some geometric properties depending upon the validity of certain inequalities due to Littlewood and Paley on the g-function for vector-valued functions.

Journal

PositivitySpringer Journals

Published: Oct 14, 2004

References

  • On bloch functions and normal functions
    Anderson, J.M.; Clunie, J.; Pommerenke, C.

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