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Kuran'S Regularity Criterion and Localization in Excessive Structures
Author(s) -
Beznea Lucian,
Boboc Nicu
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.3.273
Subject(s) - resolvent , mathematics , pure mathematics , relation (database) , space (punctuation) , mathematical analysis , linguistics , philosophy , database , computer science
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.