Interpolation by Linear Sums of Harmonic Measures

Marvin Ortel · Canadian Mathematical Bulletin · 1975

Let α be an open arc on the unit circle and for z=reiθ, 0 ≤ r < 1, let (1) The function ω(z; α) is called the harmonic measure of the arc α with respect to the unit disc, (Nevanlinna 2); it is harmonic and bounded in the unit disc and possesses (Fatou) boundary values 1 and 0 at interior points of α and the complementary arc β respectively.

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