Carleson measure and balayage

Pott, S. and Volberg, A. (2010) Carleson measure and balayage. International Mathematics Research Notices, 2010(13), pp. 2427-2436. (doi: 10.1093/imrn/rnp222)

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Abstract

The balayage of a Carleson measure lies of course in the space of functions of bounded mean oscillation (BMO). We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of <i>certain</i> balayages.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pott, Dr Sandra
Authors: Pott, S., and Volberg, A.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Mathematics Research Notices
Journal Abbr.:IMRN
ISSN:1073-7928
ISSN (Online):1687-0247
Published Online:21 December 2009
Copyright Holders:Copyright © 2009 The Authors
First Published:First published in International Mathematics Research Notices 2010(13):2427-2436
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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