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Boundary convergence in non-nontangential and nonadmissible approach regions. (English) Zbl 0781.32010
Let \(u(x,y)\) be the Poisson integral in \(\mathbb{R}_ +^{n+1}= \bigl\{ (x,y):x \in \mathbb{R}^ n,\;y>0\bigr\}\) of a function \(f\in L^ p(\mathbb{R}^ n)\). The authors investigate questions of boundary convergence in non- nontangential and nonadmissible approach regions. For proofs of these results they use interesting methods connected with a Carleson measure.

MSC:
32A40 Boundary behavior of holomorphic functions of several complex variables
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
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