We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...
Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be ...
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