Some Results on Energy

Abstract

The concept of energy we are dealing with here is a generalization of that dealt with in the classical theory. Although rightfully observed by P.A. Meyer in [4] p. 140, that such a generalization “loses delicacy as it gains generality”, we will try to add a few results which may somewhat simplify a way in dealing with this concept. To be more precise, in the literature dealing with concept of energy, the basic tools are Dirichlet spaces techniques [7] and the kernel theory, which are both natural offshoots of the classical theory. The symmetry of kernels plays the basic role there.