UID:
edoccha_9959185675702883
Format:
1 online resource (VIII, 180 p.)
Edition:
1st ed. 1971.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-36447-1
Series Statement:
Lecture Notes in Mathematics, 175
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-05327-1
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0060353
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