Spaces of generalized smoothness on h-sets and related Dirichlet forms

V. Knopova, and M. Zähle. "Spaces of generalized smoothness on h-sets and related Dirichlet forms." Studia Mathematica 174.3 (2006): 277-308. <http://eudml.org/doc/284789>.

@article{V2006,
abstract = {The paper is devoted to spaces of generalized smoothness on so-called h-sets. First we find quarkonial representations of isotropic spaces of generalized smoothness on ℝⁿ and on an h-set. Then we investigate 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.},
author = {V. Knopova, M. Zähle},
journal = {Studia Mathematica},
keywords = {spaces on fractals; generalized smoothness; h-sets; atomic and quarkonial representations},
language = {eng},
number = {3},
pages = {277-308},
title = {Spaces of generalized smoothness on h-sets and related Dirichlet forms},
url = {http://eudml.org/doc/284789},
volume = {174},
year = {2006},
}

TY - JOUR
AU - V. Knopova
AU - M. Zähle
TI - Spaces of generalized smoothness on h-sets and related Dirichlet forms
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 3
SP - 277
EP - 308
AB - The paper is devoted to spaces of generalized smoothness on so-called h-sets. First we find quarkonial representations of isotropic spaces of generalized smoothness on ℝⁿ and on an h-set. Then we investigate 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.
LA - eng
KW - spaces on fractals; generalized smoothness; h-sets; atomic and quarkonial representations
UR - http://eudml.org/doc/284789
ER -