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

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

 

Majorization and domination in the Bergman space


Authors: Boris Korenblum and Kendall Richards
Journal: Proc. Amer. Math. Soc. 117 (1993), 153-158
MSC: Primary 30C80; Secondary 46E20
MathSciNet review: 1113643
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ f$ and $ g$ be functions analytic on the unit disk and let $ \vert\vert \cdot \vert\vert$ denote the Bergman norm. Conditions are identified under which there exists an absolute constant $ c$, with $ 0 < c < 1$, such that the relationship $ \vert g(z)\vert \leqslant \vert f(z)\vert(c \leqslant \vert z\vert < 1)$ will imply $ \vert\vert g\vert\vert \leqslant \vert\vert f\vert\vert$.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30C80, 46E20

Retrieve articles in all journals with MSC: 30C80, 46E20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1113643-3
PII: S 0002-9939(1993)1113643-3
Article copyright: © Copyright 1993 American Mathematical Society