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 ...
Off-axis paraboloid reflector is a special optical element, its main function is to focus the incident light to a certain distance from the optical axis. The working principle is based on the ...
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