Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)



Regularity of Morrey commutators

Authors: David R. Adams and Jie Xiao
Journal: Trans. Amer. Math. Soc. 364 (2012), 4801-4818
MSC (2010): Primary 42B35, 46E35, 47G10
Published electronically: April 6, 2012
MathSciNet review: 2922610
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is devoted to presenting a new proof of boundedness of the commutator $ bI_\alpha -I_\alpha b$ (in which $ I_\alpha $ and $ b$ are regarded as the Riesz and multiplication operators) acting on the Morrey space $ L^{p,\lambda }$ under $ b\in \operatorname {BMO}$, and naturally, developing a regularity theory of commutators for Morrey-Sobolev spaces $ I_\alpha (L^{p,\lambda })$ via a completely original iteration of $ I_\alpha $. Even in the special case of $ I_\alpha (L^p)$, this is a new theory.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 42B35, 46E35, 47G10

Retrieve articles in all journals with MSC (2010): 42B35, 46E35, 47G10

Additional Information

David R. Adams
Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027

Jie Xiao
Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland & Labrador, Canada A1C 5S7

Keywords: Morrey-Sobolev spaces, commutators, traces, weights, Choquet integrals, fractional Laplacians, Riesz integrals, maximal operators
Received by editor(s): November 4, 2010
Published electronically: April 6, 2012
Additional Notes: The second author was supported in part by NSERC of Canada.
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia