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Fatou's theorem on nontangential limits and problems of extension to an ideal boundary

✍ Scribed by O. V. Ivanov

Publisher
Springer US
Year
1994
Tongue
English
Weight
326 KB
Volume
71
Category
Article
ISSN
1573-8795

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Consider a triangular array \(X_{1}^{n}, \ldots, X_{n}^{n}, n \in \mathbb{N}\), of rowwise independent random clements with values in a measurable space. Suppose there exists \(\theta \in[0,1)\) such that \(X_{1}^{n}, \ldots, X_{\left.\left[n^{n}\right\}\right]}^{n}\) have distribution \(v_{1}\) and