Geodesic
Boundary Behavior of Analytic Riesz Products in the~Disk
Matematičeskie trudy, Tome 9 (2006) no. 1, pp. 34-51

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a fractal-type class of conformal mappings and formulate for it a criterion of almost everywhere existence of the angular limits of the derivatives in terms of the moduli of the coefficients of the logarithm of the derivative. Moreover, we establish a connection between the asymptotic variance and spectrum of the integral means of these mappings. 
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     author = {I. R. Kayumov},
     title = {Boundary {Behavior} of {Analytic} {Riesz} {Products} in {the~Disk}},
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I. R. Kayumov. Boundary Behavior of Analytic Riesz Products in the~Disk. Matematičeskie trudy, Tome 9 (2006) no. 1, pp. 34-51. http://geodesic.mathdoc.fr/item/MT_2006_9_1_a2/