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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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