Let Î be an affine building of type A~2and Ω its maximal boundary. We prove that, for every function fâ L1(Ω) , restricted convergence of the normalized generalized Poisson transform PÏf/ PÏ1 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 Î be an affine building of type A~2and Ω its maximal boundary. We prove that, for every function fâ L1(Ω) , restricted convergence of the normalized generalized Poisson transform PÏf/ PÏ1 to f holds almost everywhere.File in questo prodotto:
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