Let Δ be a thick affine building of type Ã2. We prove that any harmonic function on the vertex of Δ which is the Poisson integral of a continuous function f on the maximal boundary tends uniformly to f.
Boundary behavior of Poisson integrals on buildings of type Ã2
MANTERO, ANNA MARIA;ZAPPA, ANNA
2003-01-01
Abstract
Let Δ be a thick affine building of type Ã2. We prove that any harmonic function on the vertex of Δ which is the Poisson integral of a continuous function f on the maximal boundary tends uniformly to f.
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