A decreasing rearrangement for functions on homogeneous trees

DOI10.1016/j.ejc.2004.03.004zbMath1101.46020OpenAlexW2002592501MaRDI QIDQ1765605

Josep L. Garcia-Domingo, Javier Soria

Publication date: 23 February 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.03.004

zbMATH Keywords

Lorentz spacegeodesicpartial ordertotal orderhomogeneous treedecreasing rearrangement

Mathematics Subject Classification ID

Trees (05C05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (3)

Dynamics of weighted shifts on directed trees ⋮ Capacitary function spaces ⋮ Rearrangement transformations on general measure spaces

Cites Work

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• Factorization of the Green's operator and weak-type estimates for a random walk on a tree
• A Faber-Krahn-type inequality for regular trees
• Fatou type theorems. Maximal functions and approach regions
• Discrete convolution-rearrangement inequalities and the Faber-Krahn inequality on regular trees
• On the theory of spaces \(\Lambda\)
• Integral Geometry on Trees
• Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
• Lorentz spaces for decreasing rearrangements of functions on trees
• Martin Boundaries of Random Walks: Ends of Trees and Groups
• Weighted Hardy and Poincaré Inequalities on Trees
• On harmonic functions on trees

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