Integral representations for some weighted classes of functions holomorphic in matrix domains
نویسندگان
چکیده
منابع مشابه
Weighted Anisotropic Integral Representations of Holomorphic Functions in the Unit Ball of Cn
and Applied Analysis 3 For these “anisotropic” spaces, similarities of the integral representations 1.4 are obtained, but this time a special kernels Sβ1β2···βn z;w ≡ Sβ z;w where βi, 1 ≤ i ≤ n, are associated with αi, 1 ≤ i ≤ n, and p in a special way appear instead of cn β · 1 − 〈z,w〉 − n 1 β Theorem 4.7 . Theorem 4.5 gives the description in a multiple series form and the main properties of ...
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where ax depends only on X and nothing else. Also, for r1, r2 < 1, fo' ff(re219) f(r2e2tri) x dO -* 0 as (ri, r2) --(1, 1), and there exists a measurable function F(O) on the boundary r = e2'i0 such that, for 0 < r < 1, fol If(re2i0) F(O)lx do -0 as r -* 1. The quantity M(r) = fOIif(re ) | do is monotonely increasing in r. Using this, it is not hard to verify that Theorem 1 gives rise to the fo...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1991
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-55-1-87-94