On Topologies and Boundaries in Potential Theory
Springer Berlin (Verlag)
978-3-540-05327-9 (ISBN)
General notions of thinness and fine topology.- Notion of reduced function. Applications. Strong thinness and strong unthinness.- General results on fine limits.- Quasi-topological notions.- Weak thinness.- Notions in classical potential theory.- Classical fine topology-general properties.- Applications to balayage, weights and capacities.- Further study of classical thinness. Some applications.- Relations with the Choquet boundary.- Extension to axiomatic theories of harmonic functions.- Abstract minimal thinness, minimal boundary, minimal fine topology.- General compactification of constantinescu-cornea first examples of application.- Classical martin space the martin integral representation.- Classical martin space and minimal thinness.- Classical martin boundary dirichlet problem and boundary behaviour.- Comparison of both thinnesses. Fine limits and non-tangential limits. (Classical case. Examples).- Martin space and minimal thinness in axiomatic theories - short survey.
Erscheint lt. Verlag | 1.1.1971 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | VIII, 180 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 268 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Schlagworte | compactification • Function • Potentialtheorie • Potential Theory • Topology |
ISBN-10 | 3-540-05327-1 / 3540053271 |
ISBN-13 | 978-3-540-05327-9 / 9783540053279 |
Zustand | Neuware |
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