Hostname: page-component-84b7d79bbc-g5fl4 Total loading time: 0 Render date: 2024-07-28T14:46:37.044Z Has data issue: false hasContentIssue false
  • English
  • Français

Some further results concerning the integrals of moduli of regular functions along curves of certain types

Published online by Cambridge University Press:  24 October 2008

R. M. Garriel
R. M. Garriel
Affiliation:
Queens' College.
Get access Rights & Permissions [Opens in a new window]

Extract

In a paper* of some time back I gave the following theorem:

If f(z) is a regular function of z for z inside and on a circle Τ, and C is any convex curve inside Τ, and λ>0, then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 25 , Issue 2 , April 1929 , pp. 139 - 144
Copyright
Copyright © Cambridge Philosophical Society 1929

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* “Some results concerning the integrals of moduli of regular functions along curves of certain types”, Proceedings of the London Mathematical Society, Vol. 28, pp. 121–127 (1926).Google Scholar

* See the case for the circle, discussed fully by Riesz, F. and Fejér, L.: “Über einige funktionentheoretische Ungleichungen”, Math. Zeitschrift, 2 (1921), 305–314.Google Scholar