On the structure of bounded smooth measures associated with a quasi-regular Dirichlet form

• Autorzy: Klimsiak T. , Rozkosz A.

Identyfikatory

DOI

10.4064/ba8108-7-2017

• Języki publikacji: EN

Abstrakty

EN

We consider a quasi-regular Dirichlet form. We show that a bounded signed measure charges no set of zero capacity associated with the form if and only if the measure can be decomposed into the sum of an integrable function and a bounded linear functional on the domain of the form. The decomposition allows one to describe explicitly the set of bounded measures charging no sets of zero capacity for interesting classes of Dirichlet forms. By way of illustration, some examples are given.

Słowa kluczowe

EN

Dirichlet form; smooth measure

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2017
• Tom: Vol. 65, no. 1
• Strony: 45--56
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Klimsiak T.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland

autor

Rozkosz A.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).