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  • © 1986

Fine Topology Methods in Real Analysis and Potential Theory

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1189)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-X
  2. Prologue

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 1-4
  3. Base operator spaces

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 5-37
  4. General properties of fine topologies

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 38-69
  5. The lusin-menchoff property of fine topologies

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 70-132
  6. Baire and blumberg spaces

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 133-142
  7. Connectivity properties of fine topologies

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 142-147
  8. Density topologies

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 147-229
  9. Further examples of fine topologies

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 229-259
  10. Extension theorems

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 259-287
  11. Boundary behaviour of functions

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 287-317
  12. Fine topology in potential theory

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 317-347
  13. Harmonic spaces

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 347-365
  14. Finely hyperharmonic functions

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 365-388
  15. The fine dirichlet problem

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 388-407
  16. Quasi-topological methods

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages 407-423
  17. Erratum

    • Jaroslav Lukeš, Jan Malý, Luděk Zajíček
    Pages E1-E2
  18. Back Matter

    Pages 424-472

Bibliographic Information

  • Book Title: Fine Topology Methods in Real Analysis and Potential Theory

  • Authors: Jaroslav Lukeš, Jan Malý, Luděk Zajíček

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0075894

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-16474-6Published: 01 August 1986

  • eBook ISBN: 978-3-540-39814-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 476

  • Topics: Topology, Real Functions, Potential Theory

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access