Abstract
Suppose D is an NTA domain, E\( \subseteq \)D is any closed set, and P x 0(E) is the projection with respect to a point x0∈D of the set E onto the boundary of D. The projection P x 0 satisfies certain geometric properties so that it is a generalization of the notion of radial projection with respect to a point x0 onto a boundary of a domain. It is shown that the harmonic measure of ∂E with respect to the domain D∖E evaluated at the point x0 is bounded below by a constant times the harmonic measure of the set P x 0(E) with respect to the domain D evaluated at the point x0. The constant is independent of the set E but it may depend upon x0.
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