Abstract
Our aim is to give an elementary and self-contained proof of the Carathéodory kernel convergence theorem based on some fundamental facts in complex analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 69-85 |
| Number of pages | 17 |
| Journal | Azerbaijan Journal of Mathematics |
| Volume | 8 |
| Issue number | 1 |
| Publication status | Published - Jan 1 2018 |
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Keywords
- Kernel of a sequence of domains
- The Carathéodory kernel convergence theorem
- The Vitali theorem
ASJC Scopus subject areas
- Mathematics(all)
Cite this
An elementary proof of the carathéodory kernel convergence theorem. / Izuki, Mitsuo; Koyama, T.
In: Azerbaijan Journal of Mathematics, Vol. 8, No. 1, 01.01.2018, p. 69-85.Research output: Contribution to journal › Article
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TY - JOUR
T1 - An elementary proof of the carathéodory kernel convergence theorem
AU - Izuki, Mitsuo
AU - Koyama, T.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Our aim is to give an elementary and self-contained proof of the Carathéodory kernel convergence theorem based on some fundamental facts in complex analysis.
AB - Our aim is to give an elementary and self-contained proof of the Carathéodory kernel convergence theorem based on some fundamental facts in complex analysis.
KW - Kernel of a sequence of domains
KW - The Carathéodory kernel convergence theorem
KW - The Vitali theorem
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UR - http://www.scopus.com/inward/citedby.url?scp=85040096189&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85040096189
VL - 8
SP - 69
EP - 85
JO - Azerbaijan Journal of Mathematics
JF - Azerbaijan Journal of Mathematics
SN - 2218-6816
IS - 1
ER -