Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions


Autoria(s): Havin, V.P.; Nersessian, A.H.; Ortega Cerdà, Joaquim
Contribuinte(s)

Universitat de Barcelona

Data(s)

17/01/2014

Resumo

We study the possibility of splitting any bounded analytic function $f$ with singularities in a closed set $E\cup F$ as a sum of two bounded analytic functions with singularities in $E$ and $F$ respectively. We obtain some results under geometric restrictions on the sets $E$ and $F$ and we provide some examples showing the sharpness of the positive results.

Identificador

http://hdl.handle.net/2445/48986

Idioma(s)

eng

Publicador

Springer

Direitos

(c) The Hebrew University of Jerusalem, 2007

info:eu-repo/semantics/openAccess

Palavras-Chave #Funcions de variables complexes #Functions of complex variables
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/acceptedVersion