New contributions on the Potential Theory - Marginean Petrovai, Diana
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The development of potential theory has highlighted the importance of a class of functions, called class of excessive functions. This was studied by P.A. Meyer, G. Mokobodzki, N. Boboc, Gh. Bucur, L. Beznea, etc. If has been shown that by giving a proper sub-Markovian proper resolvent on a measurable space the set of excessive measures on this space forms a H-cone. We put conditions on a H-cone of a positive measures on a Lusin measurable space to exists a resolvent of kernels on this space such that this H-cone is equals with a H-cone of excessive measures. This work should be useful to…mehr

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Produktbeschreibung
The development of potential theory has highlighted the importance of a class of functions, called class of excessive functions. This was studied by P.A. Meyer, G. Mokobodzki, N. Boboc, Gh. Bucur, L. Beznea, etc. If has been shown that by giving a proper sub-Markovian proper resolvent on a measurable space the set of excessive measures on this space forms a H-cone. We put conditions on a H-cone of a positive measures on a Lusin measurable space to exists a resolvent of kernels on this space such that this H-cone is equals with a H-cone of excessive measures. This work should be useful to professionals in Mathematical Analysis, to those involved in the Potential Theory, a research field still open for new developments.
Autorenporträt
Ph.D in Mathematics: University of Bucharest, University Lecturer at Petru Maior University of Tirgu-Mures, Romania. Courses held: Real and Complex Analysis, Linear Algebra and Differential Geometry.