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

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Compact weighted composition operators on the Hardy space

Author: Gajath Gunatillake
Journal: Proc. Amer. Math. Soc. 136 (2008), 2895-2899
MSC (2000): Primary 47B32
Published electronically: April 10, 2008
MathSciNet review: 2399056
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A weighted composition operator $ C_{\psi,\varphi}$ takes an analytic map $ f$ on the open unit disk of the complex plane to the analytic map $ \psi f\circ \varphi$, where $ \varphi$ is an analytic map of the open unit disk into itself and $ \psi$ is an analytic map on the open unit disk. This paper studies how the compactness of $ C_{\psi,\varphi}$ depends on the interaction between the two maps $ \psi$ and $ \varphi$.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B32

Retrieve articles in all journals with MSC (2000): 47B32

Additional Information

Gajath Gunatillake
Affiliation: Department of Mathematics, American University of Sharjah, Sharjah, United Arab Emirates

PII: S 0002-9939(08)09247-2
Received by editor(s): August 1, 2006
Received by editor(s) in revised form: June 2, 2007
Published electronically: April 10, 2008
Additional Notes: The research for this paper was undertaken in partial fulfillment of the requirements for the author’s Ph.D. at Purdue University.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2008 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