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math.FA2022★ 1 cited
Hardy--Littlewood fractional maximal operators on homogeneous trees
Matteo Levi, Federico Santagati
We study the mapping properties of the Hardy--Littlewood fractional maximal operator between Lorentz spaces of the homogeneous tree and discuss the optimality of all the results.
math.FA2022★ 2 cited
Poincaré inequalities on graphs
Matteo Levi, Federico Santagati, Anita Tabacco +1
We prove local -Poincaré inequalities, , on quasiconvex sets in infinite graphs endowed with a family of locally doubling measures, and global -Poincaré…