INVESTIGADORES
LEVIS Fabian Eduardo
artículos
Título:
A property of the planar measure of the lemniscates
Autor/es:
H. H. CUENYA; F. E. LEVIS
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
Elsevier
Referencias:
Lugar: Iowa; Año: 2007 vol. 336 p. 953 - 961
ISSN:
0022-247X
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.
