Fine topology methods in real analysis and potential theory

Bibliographic Information

Fine topology methods in real analysis and potential theory

Jaroslav Lukeš, Jan Malý, Luděk Zajíček

(Lecture notes in mathematics, 1189)

Springer-Verlag, c1986

  • : gw
  • : us

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Note

"Subseries: Mathematisches Institut der Universität Erlangen-Nürnberg."

Bibliography: p. 434-459

Includes index

Description and Table of Contents

Table of Contents

Prologue.- Base operator spaces.- General properties of fine topologies.- The lusin-menchoff property of fine topologies.- Baire and blumberg spaces.- Connectivity properties of fine topologies.- Density topologies.- Further examples of fine topologies.- Extension theorems.- Boundary behaviour of functions.- Fine topology in potential theory.- Harmonic spaces.- Finely hyperharmonic functions.- The fine dirichlet problem.- Quasi-topological methods.- Errata.

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