Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Some characterizations of local bmo and h 1 on metric measure spaces

Some characterizations of local bmo and h 1 on metric measure spaces We study, in the setting of a doubling metric measure space, the local bmo space and Hardy space h 1 defined by Goldberg. We state a John–Nirenberg type inequality for the local bmo space and give two proofs, via a good-lambda inequality and via duality. We also prove the boundedness of the Hardy–Littlewood maximal function from bmo to bmo. Finally, we give characterizations of bmo and h 1 using alternative mean-oscillation and moment conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Some characterizations of local bmo and h 1 on metric measure spaces

Analysis and Mathematical Physics , Volume 2 (3) – Jun 19, 2012

Loading next page...
 
/lp/springer-journals/some-characterizations-of-local-bmo-and-h-1-on-metric-measure-spaces-KXJ4giPkRO
Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Basel AG
Subject
Mathematics; Mathematical Methods in Physics; Analysis
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-012-0034-5
Publisher site
See Article on Publisher Site

Abstract

We study, in the setting of a doubling metric measure space, the local bmo space and Hardy space h 1 defined by Goldberg. We state a John–Nirenberg type inequality for the local bmo space and give two proofs, via a good-lambda inequality and via duality. We also prove the boundedness of the Hardy–Littlewood maximal function from bmo to bmo. Finally, we give characterizations of bmo and h 1 using alternative mean-oscillation and moment conditions.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Jun 19, 2012

References