関数核ポテンシャル論におけるリース型分解定理とその応用について

Abstract

In this paper we shall first obtain a Riesz-type decomposition theorem of superharmonic functions with respect to function-kernels of potentials. Next, as an application of new decomposition theorem, we shall give some new characterizations of the regularity of function-kernels which plays an important role in the theory of Hunt kernels.