Plans on measures and AM-modulus

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10436707" target="_blank" >RIV/00216208:11320/21:10436707 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=6lKt2ZPgrL" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=6lKt2ZPgrL</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2021.109205" target="_blank" >10.1016/j.jfa.2021.109205</a>

Result language
angličtina
Original language name
Plans on measures and AM-modulus
Original language description
For measuring families of curves, or, more generally, of measures, M-p-modulus is traditionally used. More recent studies use so-called plans on measures. In their fundamental paper [6], Ambrosio, Di Marino and Savare proved that these two approaches are in some sense equivalent within 1 < p < infinity. We consider the limiting case p = 1 and show that the AM-modulus can be obtained alternatively by the plan approach. On the way, we demonstrate unexpected behavior of the AM-modulus in comparison with usual capacities and consider the relations between the M-1-modulus and the AM-modulus. (C) 2021 Elsevier Inc. All rights reserved.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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