SPACES OF GENERALIZED SMOOTHNESS ON h–SETS AND RELATED DIRICHLET FORMS
نویسنده
چکیده
The paper is devoted to the spaces of generalized smoothness on so-called h–sets. First we find the quarkonial representations of isotropic spaces of generalized smoothness on R and on an h–set. Then we investigate the representations of such spaces via differences, which are very helpful when we want to find an explicit representation of the domain of a Dirichlet form on h–sets. We prove that both representations are equivalent, and also find the domain of some time changed Dirichlet form on an h–set. keywords: space of generalized smoothness, quarkonial representation, h– sets, Dirichlet form, time-changed Dirichlet form. MSC: 46E35, 42B35, 28A80, 60J75.
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