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Kuran'S Regularity Criterion and Localization in Excessive Structures

Kuran'S Regularity Criterion and Localization in Excessive Structures We give a relation between the thinness of a measurable fine closed subset of a Lusin measurable space endowed with a submarkovian resolvent of kernels and the quasi‐boundedness for the excessive measures associated with the same resolvent. We extend a classical result of Ü. Kuran and two recent generalizations of N. Suzuki, and P. J. Fitzsimmons and R. K. Getoor. We use essentially the localization procedure for both excessive functions and excessive measures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Kuran'S Regularity Criterion and Localization in Excessive Structures

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/28.3.273
Publisher site
See Article on Publisher Site

Abstract

We give a relation between the thinness of a measurable fine closed subset of a Lusin measurable space endowed with a submarkovian resolvent of kernels and the quasi‐boundedness for the excessive measures associated with the same resolvent. We extend a classical result of Ü. Kuran and two recent generalizations of N. Suzuki, and P. J. Fitzsimmons and R. K. Getoor. We use essentially the localization procedure for both excessive functions and excessive measures.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: May 1, 1996

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