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Borel-Caratheodory Theorem

Analysis

The Borel-Caratheodory theorem, in complex analysis, shows that an analytic function can be bounded using only the values of its real part. The result is an application of the maximum modulus principle, and it is named for the mathematicians Emile Borel and Constantin Caratheodory.

Facts
Statement
The Borel-Caratheodory theorem in complex analysis shows that an analytic function may be bounded by its real part. 1
Classification
Statement Form
Inequality 1
Sources
1. Borel-Caratheodory theorem - Wikipedia
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Quote, Lead paragraph, sentence 1
In mathematics, the Borel-Caratheodory theorem in complex analysis shows that an analytic function may be bounded by its real part.
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