Upper Porosity with Respect to Measures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10105730" target="_blank" >RIV/00216208:11320/11:10105730 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Upper Porosity with Respect to Measures

Original language 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 $mu$. Weexplore 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0067" target="_blank" >GA201/09/0067: Theory of real functions and descriptive set theory II</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Real Analysis Exchange

ISSN

0147-1937

e-ISSN

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Volume of the periodical

36

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

91-106

UT code for WoS article

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EID of the result in the Scopus database

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