Boundary behavior of generalized Poisson integrals on buildings of type \(\widetilde{A}_2\)

DOI10.1007/s40574-016-0110-0zbMath1387.51013OpenAlexW2556054644MaRDI QIDQ681832

Anna Zappa, Anna Maria Mantero

Publication date: 13 February 2018

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-016-0110-0

zbMATH Keywords

maximal functioncharacterPoisson integralbuildingfundamental apartmentmaximal boundary

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Buildings and the geometry of diagrams (51E24) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

• Macdonald formula for spherical functions on affine buildings
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Spherical harmonic analysis on affine buildings
• Boundary behavior of harmonic functions on symmetric spaces: maximal estimates for Poisson integrals
• Admissible convergence of Poisson integrals in symmetric spaces
• Eigenfunctions of the Laplace operators for a building of type \(\tilde A_2\)
• Spherical harmonic analysis on buildings of type \(\tilde A_n\)
• Buildings and Hecke algebras.
• Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces
• Boundary behaviour of Poisson integrals on buildings of type Ã2
• Eigenvalues of the Vertex Set Hecke Algebra of an Affine Building
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary behavior of generalized Poisson integrals on buildings of type \(\widetilde{A}_2\)