ON IDENTICAL VANISHING OF HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES
نویسندگان
چکیده
منابع مشابه
On Identical Vanishing of Holomorphic Functions in Several Complex Variables.
We will make some comment on the following recent result of J. J. Kohn. In the complex space Cn:(z1, . . . , zn) if fl, . . . , fn are holomorphic in the unit ball and have continuous boundary values on the boundary, and if on the boundary the linear combination 1fi+ + j,,f is 0, then the functions fl, . .. , f,, are identically 0. 1. We denote by D any bounded circular domain in C., by B its b...
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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: Proceedings of the National Academy of Sciences
سال: 1959
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.45.1.46