Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Boundary zeros of functions with derivative in $ H\sp{p}$


Authors: D. J. Caveny and W. P. Novinger
Journal: Proc. Amer. Math. Soc. 25 (1970), 776-780
MSC: Primary 30.67
MathSciNet review: 0259134
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is known that the set of boundary zeros of a function, analytic in the unit disc and with derivative in the Hardy class $ {H^p}$, is a Carleson set provided $ p > 1$. In this paper a proof is given which includes the case $ p = 1$. Peak sets for such functions are investigated and sufficient conditions on subsets of the boundary are given, which guarantee that they are peak sets.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30.67

Retrieve articles in all journals with MSC: 30.67


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0259134-8
Keywords: Analytic functions, Hardy classes, zero sets, Carleson set, peak sets
Article copyright: © Copyright 1970 American Mathematical Society