scientific article

zbMath0621.31005MaRDI QIDQ3758200

Adam Korányi, Massimo A. Picardello

Publication date: 1986

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1986_4_13_3_389_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Laplace operatorFatou theoremtreesPoisson kernelsharmonicpositive eigenfunctionnontangential boundary limitsPoisson integrals of finite measures

Mathematics Subject Classification ID

Discrete potential theory (31C20)

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The Green formula and \(H^ p\) spaces on trees ⋮ Best constants for the Hardy-Littlewood maximal operator on finite graphs ⋮ Martin Boundaries of Random Walks: Ends of Trees and Groups ⋮ A characterization of weak \(L^p\)-eigenfunctions of the Laplacian on homogeneous trees ⋮ Boundary behaviour of \(\lambda \)-polyharmonic functions on regular trees ⋮ The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees ⋮ Polyharmonic potential theory on the Poincaré disk ⋮ Trees as Brelot spaces. ⋮ On the spherical maximal function on finite graphs ⋮ Boundary behavior of generalized Poisson integrals on buildings of type \(\widetilde{A}_2\) ⋮ Sobolev regularity of maximal operators on infinite connected graphs ⋮ On the variation of the Hardy-Littlewood maximal functions on finite graphs ⋮ Unnamed Item ⋮ Biharmonic Green functions on homogeneous trees ⋮ Mapping properties of maximal operators on infinite connected graphs

Cites Work

• The Poisson transform and representations of a free group
• Une remarque sur la convergence des fonctions propres du laplacien a valeur propre critique
• Fourier Analysis on Local Fields. (MN-15)
• Boundary Behavior of Poisson Integrals on Symmetric Spaces
• Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces
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