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)



Convergence of arguments of Blaschke products in $ L\sb p$-metrics

Author: A. V. Rybkin
Journal: Proc. Amer. Math. Soc. 111 (1991), 701-708
MSC: Primary 30D50; Secondary 30E25
MathSciNet review: 1010000
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the naturally defined argument of a Blaschke product is a function which is the harmonic conjugate of an integrable function of constant sign. A direct construction of this function is obtained. This fact allows us to investigate the relation between conditions on the zeros of a Blaschke product and the convergence of the arguments of its partial finite subproducts in $ {L_p}$-metrics, $ 0 < p \leq \infty $.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30D50, 30E25

Retrieve articles in all journals with MSC: 30D50, 30E25

Additional Information

Keywords: Blaschke product, argument, outer function, harmonic conjugate, Hardy spaces
Article copyright: © Copyright 1991 American Mathematical Society