Capacitary inequalities for energy
Copyright policy )Capacitary inequalities for energy
The following strong capacitary inequality is obtained: \[ \int^{\infty}_{0}tc(s>t)dt\leq const.\| s\|^ 2_ e. \] Where s is an excessive function of finite energy. As Prof. Meyer observed this is a simple consequence of Doob's inequality. However the proof given uses only the (weak) maximum principle and so the result holds for kernels such as M. Riesz kernels which are not necessarily potential kernels.
- University of Florida United States
excessive function, Probabilistic potential theory, capacitary inequality, Doob's inequality, maximum principle, Potentials and capacities on other spaces, finite energy, Riesz kernels
excessive function, Probabilistic potential theory, capacitary inequality, Doob's inequality, maximum principle, Potentials and capacities on other spaces, finite energy, Riesz kernels
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