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

• Autorzy: V. Knopova , M. Zähle
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 28A80: Fractals
• 60J75: Jump processes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 3
• Strony: 277-308

Daty

wydano

2006

Twórcy

autor

V. Knopova

• Mathematical Institute, University of Jena, Ernst-Abbe-Platz 2, 07743 Jena, Germany

autor

M. Zähle

• Mathematical Institute, University of Jena, Ernst-Abbe-Platz 2, 07743 Jena, Germany

Identyfikatory

DOI

10.4064/sm174-3-4