The concept of boundary layers, introduced by A. Volberg in [7], is generalized from subsets of the unit disk to subsets of general non-tangentially accessible (NTA) domains. Capacitary conditions of Wiener type series of both necessary and sufficient type for boundary layers are presented and the connection between boundary layers and minimally thin sets is studied.
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CITATION STYLE
Aikawa, H., & Lundh, T. (1996). On boundary layers. Arkiv for Matematik, 34(1), 1–19. https://doi.org/10.1007/BF02559504