On weighted distortion in conformal mapping
نویسندگان
چکیده
منابع مشابه
On Moduli in Conformal Mapping.
Geometrically, the theorem states that if a variety U/k becomes birationally equivalent to an Abelian variety over the algebraic closure of k, then it is birationally equivalent to an Abelian variety over k. (If k is a field with a discrete valuation, and ir is a prime element, then the curve defined by the equation X" + 7rY" + 7r2Zn = 0, with n = 3, shows that the conclusion of the theorem doe...
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1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to justify this statement we observe first that...
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Few analytical techniques are better known to students of applied mathematics than conformal mapping. It is the classical method for solving problems in continuum mechanics, electrostatics, and other fields involving the two-dimensional Laplace and Poisson equations. To employ the method, one needs an explicit mapping function from some standard domain— such as the unit disk or upper half plane...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولOn Distortion at the Boundary of a Conformal Map.
o but containing the line segment 0 _ w < 1, and whose boundary possesses at the point w = 1 forward and backward tangents making equal angles a/2 (>0) with the negative direction of the axis of reals. Let thefunction w = f(z) map the region R, :x < 1 of the z(= x + iy)-plane onto Rw in such a way that we have f(O) = 0, f(1) = 1. Let the sequence xn, 0 < xn < 1, approach unity. Then for z on an...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1960
ISSN: 0019-2082
DOI: 10.1215/ijm/1255455734