Let Δ be an affine building of type A~2and Ω its maximal boundary. We prove that, for every function f∈ L1(Ω) , restricted convergence of the normalized generalized Poisson transform Pχf/ Pχ1 to f holds almost everywhere.

Boundary behavior of generalized Poisson integrals on buildings of type A~2

Mantero, A. M.;Zappa, A.
2017-01-01

Abstract

Let Δ be an affine building of type A~2and Ω its maximal boundary. We prove that, for every function f∈ L1(Ω) , restricted convergence of the normalized generalized Poisson transform Pχf/ Pχ1 to f holds almost everywhere.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/885346
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