Riesz transform for a flow Laplacian on homogeneous trees

DOI10.1007/s00041-023-09999-xzbMath1512.05083arXiv2107.06620MaRDI QIDQ6045754

Maria Vallarino, Matteo Levi, Federico Santagati, Alessio Martini, Anita Tabacco

Publication date: 12 May 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06620

zbMATH Keywords

treeheat kernelRiesz transformnondoubling measure

Mathematics Subject Classification ID

Trees (05C05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Flows in graphs (05C21)

Related Items (2)

Riesz transforms on \(ax+b\) groups ⋮ Two-weight dyadic Hardy inequalities

Cites Work

• Unnamed Item
• Hardy and \textit{BMO} spaces on graphs, application to Riesz transform
• Gaussian estimates for Markov chains and random walks on groups
• Atomic decomposition of Hardy type spaces on certain noncompact manifolds
• Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth
• Hardy spaces and bmo on manifolds with bounded geometry
• Multipliers and singular integrals on exponential growth groups
• On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property
• Haar-like expansions and boundedness of a Riesz operator on a solvable Lie group
• The fall of the doubling condition in Calderón-Zygmund theory
• The \(Tb\)-theorem on non-homogeneous spaces.
• Some remarks on the Dirichlet problem on infinite trees
• Hardy spaces on homogeneous trees with flow measures
• Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs
• Riesz transforms for bounded Laplacians on graphs
• Analysis on trees with nondoubling flow measures
• Probability on Trees and Networks
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Hardy Spaces on Weighted Homogeneous Trees
• Riesz transforms on solvable extensions of stratified groups
• H1 and BMO for certain locally doubling metric measure spaces
• An estimate for a first-order Riesz operator on the affine group
• Estimates for functions of the Laplace operator on homogeneous trees
• Riesz transforms on graphs for $1 \leq p \leq 2$
• The Kunze–Stein phenomenon on the isometry group of a tree
• Discrete Hilbert transform à la Gundy–Varopoulos
• A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• \(H^1 - L^1\) boundedness of Riesz transforms on Riemannian manifolds and on graphs

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