Semipolar Sets and Intrinsic Hausdorff Measure

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404070" target="_blank" >RIV/00216208:11320/19:10404070 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=hHBu0hBxF" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=hHBu0hBxF</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11118-018-9702-x" target="_blank" >10.1007/s11118-018-9702-x</a>

Result language
angličtina
Original language name
Semipolar Sets and Intrinsic Hausdorff Measure
Original language description
In a general potential-theoretic setting, results on the size of semipolar sets in terms of intrinsic measure of Hausdorff type defined by means of abstract "Green function" are established. In special situations, as for classical potential theory or Riesz potential theory, the intrinsic measure is equivalent to an ordinary Hausdorff measure of a suitable dimension. For the space- time situations, as, for example, the heat potential theory, the intrinsic measure is equivalent to an anisotropic Hausdorff measure. For this case, our result solves an open problem from a paper by S.J. Taylor and N.A.Watson published in 1985.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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