Exceptional Sets for Subharmonic Functions
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Keywords

 Subharmonic, Hausdorff measure, exceptional sets.

How to Cite

Juhani Riihentaus. (2015). Exceptional Sets for Subharmonic Functions. Journal of Basic & Applied Sciences, 11, 567–571. https://doi.org/10.6000/1927-5129.2015.11.75

Abstract

Blanchet has shown that hypersurfaces of class C1 are removable singularities for subharmonic functions, provided the considered subharmonic functions satisfy certain assumptions. Later we showed that, in certain cases, it is sufficient that the exceptional sets are of finite (n-1)-dimensional Hausdorff measure. Now we improve our results still further, relaxing our previous assumptions imposed on the considered subharmonic functions.

https://doi.org/10.6000/1927-5129.2015.11.75
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References

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Riihentaus J. An inequality type condition for quasinearly subharmonic functions and applications. Positivity VII, Leiden, July 22-26, 2013, Zaanen Centennial Conference. In: Trends in Mathematical Series, Birkhäuser, to appear.

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Copyright (c) 2015 Juhani Riihentaus