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dc.contributor.author
Cuenya, Hector Hugo  
dc.contributor.author
Levis, Fabián Eduardo  
dc.date.available
2024-08-07T15:23:37Z  
dc.date.issued
2007-12  
dc.identifier.citation
Cuenya, Hector Hugo; Levis, Fabián Eduardo; A property of the planar measure of the lemniscates; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 336; 2; 12-2007; 953-961  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/242026  
dc.description.abstract
In this paper, we establish the following conjecture: There exists a constant K such that every lemniscate E(a,c), a Î C^n, c>0, contains a disk B(a, c) with mu(E(a, c)) £ Kmu(B(a, c)), where mu is the planar measure. We prove this conjecture for any family of lemniscates with at the most three foci and for any family of lemniscates where its foci satisfy a suitable condition.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
LEMNISCATES  
dc.subject
PLANAR MEASURE  
dc.subject
INEQUALITIES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A property of the planar measure of the lemniscates  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-08-05T13:44:24Z  
dc.journal.volume
336  
dc.journal.number
2  
dc.journal.pagination
953-961  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Cuenya, Hector Hugo. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Levis, Fabián Eduardo. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Físico-Químicas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X07003319  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2007.03.034  

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