Bounded holomorphic functions in Siegel domains
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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(1) Contain all real and imaginary parts of bounded holomorphic functions. (2) Be describable as \Poisson integrals" over the Bergman-Shilov boundary against a real kernel (the \Poisson" kernel). (3) Be invariant under all bi-holomorphisms of the domain. (4) Be describable as the nullspace HL of a degenerate-elliptic system L of second order di erential operators. (We refer to HL as the space o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1973-0322211-x