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Description
  • For subsets of a separable metric space $X$ we introduce the notion of upper porosity with respect to a Borel regular probabilistic measure $\mu$ on $X$ (called $\mu$-upper porosity) that generalizes the concept of upper porosity of the measure $\mu$. We explore several natural definitions and further provide a definition of even more general type of $\mu$-upper porosity given by suitable porosity functions. As the main consequence of achieved results concerning general $\mu$-upper porosities we get that every $\sigma$-$\mu$-upper porous set can be decomposed to a $\sigma$-strongly upper porous set and a $\mu$-null set.
  • For subsets of a separable metric space $X$ we introduce the notion of upper porosity with respect to a Borel regular probabilistic measure $\mu$ on $X$ (called $\mu$-upper porosity) that generalizes the concept of upper porosity of the measure $\mu$. We explore several natural definitions and further provide a definition of even more general type of $\mu$-upper porosity given by suitable porosity functions. As the main consequence of achieved results concerning general $\mu$-upper porosities we get that every $\sigma$-$\mu$-upper porous set can be decomposed to a $\sigma$-strongly upper porous set and a $\mu$-null set. (en)
Title
  • Upper Porosity with Respect to Measures
  • Upper Porosity with Respect to Measures (en)
skos:prefLabel
  • Upper Porosity with Respect to Measures
  • Upper Porosity with Respect to Measures (en)
skos:notation
  • RIV/00216208:11320/11:10105730!RIV12-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GA201/09/0067)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 236969
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/11:10105730
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • upper porosity of measures; generalized upper porosity; upper porosity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [81564A58F50A]
http://linked.open...i/riv/nazevZdroje
  • Real Analysis Exchange
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 36
http://linked.open...iv/tvurceVysledku
  • Koc, Martin
issn
  • 0147-1937
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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