Bounded holomorphic functions with all level sets of infinite length.
نویسندگان
چکیده
منابع مشابه
Bounded Holomorphic Functions on Bounded Symmetric Domains
Let D be a bounded homogeneous domain in C , and let A denote the open unit disk. If z e D and /: D —► A is holomorphic, then ß/(z) is defined as the maximum ratio \Vz(f)x\/Hz(x, 3c)1/2 , where x is a nonzero vector in C and Hz is the Bergman metric on D . The number ßf(z) represents the maximum dilation of / at z . The set consisting of all ß/(z), for z e D and /: D —► A holomorphic, is known ...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1980
ISSN: 0026-2285
DOI: 10.1307/mmj/1029002311