Artículo
A property of the planar measure of the lemniscates
Fecha de publicación:
12/2007
Editorial:
Academic Press Inc Elsevier Science
Revista:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
LEMNISCATES
,
PLANAR MEASURE
,
INEQUALITIES
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
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
Compartir
Altmétricas