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]
< Reduce
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Journal of Geometric Analysis. 2011-02-28, vol. 22, n° 4, p. 1055-1070
English Abstract
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 ...Read more >
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 $E$.Read less <
English Keywords
Zero sets
Dirichlet space
logarithmic capacity
ANR Project
Dynamique des opérateurs - ANR-07-BLAN-0249
Origin
Hal imported