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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
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
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