Imbedding theorems of Sobolev type in potential theory.
Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes
Inequalities involving heat potentials and Green functions
We take some well-known inequalities for Green functions relative to Laplace’s equation, and prove not only analogues of them relative to the heat equation, but generalizations of those analogues to the heat potentials of nonnegative measures on an arbitrary open set whose supports are compact polar subsets of . We then use the special case where the measure associated to the potential has point support, in the following situation. Given a nonnegative supertemperature on an open set , we prove...