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On Some Results Concerning the Reduite and Balayage
Author(s) -
Grecea Valentin
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200103)223:1<65::aid-mana65>3.0.co;2-r
Subject(s) - mathematics , resolvent , kernel (algebra) , space (punctuation) , borel set , pure mathematics , set (abstract data type) , mathematical analysis , function (biology) , balayage , linguistics , laser , physics , evolutionary biology , computer science , optics , biology , programming language , philosophy
If J is an analytic, saturated gambling house with compact sections, and $\mu \mathop \le _J \lambda$ we show that there exists a (submarkovian) borel kernel P permitted in J such that μ = λP . If $\cal V = (V_{\alpha} ) _{\alpha > 0}$ is a proper submarkovian resolvent on a Lusin space X , we study the regularity of the reduite R A s of an excesive function s on a set A ⊂ X .