Abstract

In this paper we investigate radial and tangential limits of pluri-Green potentials Vμ on the unit ball B in , which for suitable μ are defined by where for z ∊ B,φ z denotes the holomorphic automorphism of B satisfying φz(0)=z, φz(z) = 0, and φz(φz(w))=w. The main result of this paper is as follows: Let λ be the M-invariant measure on B and let f be a non-negative measurable function on B satisfying , and for some p<1, then the pluri-Green potential V f has tangential limit at almost all points of the boundary S of B. It is shown that the result is best possible.

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