Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^p$ maximal inequalities

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) Harmonic analysis on homogeneous spaces (43A85) Integral representations of solutions to PDEs (35C15) Harmonic analysis and PDEs (42B37)

Cites Work

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Stable semigroups on homogeneous trees and hyperbolic spaces
Carleson measures on a homogeneous tree
Heat kernels on regular graphs and generalized Ihara zeta function formulas
Random martingales and localization of maximal inequalities
Multipliers and singular integrals on exponential growth groups
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian
On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property
Transition density estimates for stable processes on symmetric spaces
BMO spaces on weighted homogeneous trees
Uniqueness for solutions of the Schrödinger equation on trees
Harmonic analysis associated with a discrete Laplacian
Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
Analysis on trees with nondoubling flow measures
Pointwise convergence to initial data of heat and Laplace equations
Extension Problem and Harnack's Inequality for Some Fractional Operators
Hardy Spaces on Weighted Homogeneous Trees
Harnack inequality for stable processes on d-sets
Estimates for functions of the Laplace operator on homogeneous trees
A note on the convergence to initial data of heat and Poisson equations
Fefferman–Stein Inequalities for the Hardy–Littlewood Maximal Function on the Infinite Rooted k-ary Tree
Poincaré and Hardy Inequalities on Homogeneous Trees
Fundamental solutions for discrete dynamical systems involving the fractional Laplacian
A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree
Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
$L^p$ spherical multipliers on homogeneous trees

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Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted \(L^p\) maximal inequalities