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
Loading next page...
 
/lp/springer_journal/remarks-on-vector-valued-bmoa-and-vector-valued-multipliers-80qwKaQDhG
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.

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off