Holomorphic functions on the polydisc having positive real part.
نویسندگان
چکیده
منابع مشابه
Weighted Integrals of Holomorphic Functions in the Unit Polydisc
Let f be a measurable function defined on the unit polydisc Un in Cn and let ωj(zj), j = 1, . . . ,n, be admissible weights on the unit disk U , with distortion functions ψj(zj), p,q ω,N (U n) = { f | ‖ f ‖ p,q ω,N < ∞}, where ‖ f ‖ q p,q ω,N = ∫[0,1)n Mp( f ,r)∏nj=1ωj(r j)drj , and p,q ω,N (U n) = p,q ω,N (Un)∩H(Un). We prove the following result: if p,q ∈ [1,∞) and for all j = 1, . . . ,n, ...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1987
ISSN: 0026-2285
DOI: 10.1307/mmj/1029003484