an:00126441
Zbl 0781.32010
Andersson, Mats; Carlsson, Hasse
Boundary convergence in non-nontangential and nonadmissible approach regions
EN
Math. Scand. 70, No. 2, 293-301 (1992).
00011454
1992
j
32A40 32A35
Poisson integral; boundary convergence; non-nontangential; nonadmissible approach regions
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.
P.Z.Agranovich (Khar'kov)