On zero sets in the Dirichlet space
KELLAY, Karim
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
KELLAY, Karim
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
< Leer menos
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Geometric Analysis. 2011-02-28, vol. 22, n° 4, p. 1055-1070
Resumen en inglés
We study the zeros sets of functions in the Dirichlet space. Using Carleson formula for Dirichlet integral, we obtain some new families of zero sets. We also show that any closed subset of $E \subset \TT$ with logarithmic ...Leer más >
We study the zeros sets of functions in the Dirichlet space. Using Carleson formula for Dirichlet integral, we obtain some new families of zero sets. We also show that any closed subset of $E \subset \TT$ with logarithmic capacity zero is the accumulation points of the zeros of a function in the Dirichlet space. The zeros satisfy a growth restriction which depends on $E$.< Leer menos
Palabras clave en inglés
Zero sets
Dirichlet space
logarithmic capacity
Proyecto ANR
Dynamique des opérateurs - ANR-07-BLAN-0249
Orígen
Importado de HalCentros de investigación