RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1970, Volume 7, Issue 2, Pages 165–172 (Mi mz9492)

Analytic functions which are regular in a disc and smooth on its boundary

B. I. Korenblyum, V. S. Korolevich

Kiev Institute of Engineering Design

Abstract: A theorem is established, asserting that the norm of the derivative $f^{(n)}(z)$ in the space $H^2$ for a function $f(z)$ regular in the disc is not increased if we replace $f$ by the ratio $f(z)/G(z)$, where $G(z)$ is any interior function dividing $f(z)$ whose singular part is of a particular form.

Full text: PDF file (661 kB)

English version:
Mathematical Notes, 1970, 7:2, 100–104

Bibliographic databases:

UDC: 517.5

Citation: B. I. Korenblyum, V. S. Korolevich, “Analytic functions which are regular in a disc and smooth on its boundary”, Mat. Zametki, 7:2 (1970), 165–172; Math. Notes, 7:2 (1970), 100–104

Citation in format AMSBIB
\Bibitem{KorKor70} \by B.~I.~Korenblyum, V.~S.~Korolevich \paper Analytic functions which are regular in a disc and smooth on its boundary \jour Mat. Zametki \yr 1970 \vol 7 \issue 2 \pages 165--172 \mathnet{http://mi.mathnet.ru/mz9492} \zmath{https://zbmath.org/?q=an:0213.09401|0211.09301} \transl \jour Math. Notes \yr 1970 \vol 7 \issue 2 \pages 100--104 \crossref{https://doi.org/10.1007/BF01093490} 

• http://mi.mathnet.ru/eng/mz9492
• http://mi.mathnet.ru/eng/mz/v7/i2/p165

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. I. Korenblum, “Invariant subspaces of the shift operator in weighted Hilbert space”, Math. USSR-Sb., 18:1 (1972), 111–138
2. A. M. Kotochigov, “Free interpolation in the spaces of analytic functions with derivative of order $s$ in a Hardy space”, J. Math. Sci. (N. Y.), 129:4 (2005), 4022–4039
•  Number of views: This page: 125 Full text: 64 First page: 1