Singular measures and the little Bloch space

Autores: Alicia Cantón Pire
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 42, Nº 1, 1998, págs. 211-222
Idioma: inglés
DOI: 10.5565/publmat_42198_11
Títulos paralelos:
- Medidas singulares y espacio pequeño de Bloch
Enlaces
- Texto completo
Resumen
- Aleksandrov, Anderson and Nicolau have found examples of inner functions that are in the little Bloch space with a specific rate of convergence to zero. As a corollary they obtain positive singular measures defined in the boundary of the unit disc that are simoultaneously symmetric and Kahane. Nevertheless their construction is very indirect. We give an explicit example of such measures by means of a martingale argument