Título inglés |
m-Berezin transform and compact operators. |
Título español |
Transformada de m-Berezin y operadores compactos. |
Autor/es |
Nam, Kyesook ; Zheng, Dechao ; Zhong, Changyong |
Organización |
Dep. Math. Hanshin Univ., Gyeonggi, Corea;Dep. Math. Vanderbilt Univ., Nashville (Tennessee), Estados Unidos |
Revista |
0213-2230 |
Publicación |
2006, 22 (3): 867-892, 18 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
m-Berezin transforms are introduced for bounded operators on the Bergman space of the unit ball. The norm of the m-Berezin transform as a linear operator from the space of bounded operators to L∞ is found. We show that the m-Berezin transforms are commuting with each other and Lipschitz with respect to the pseudo-hyperbolic distance on the unit ball. Using the m-Berezin transforms we show that a radial operator in the Toeplitz algebra is compact iff its Berezin transform vanishes on the boundary of the unit ball. |
Clasificación UNESCO |
120111 ; 120216 |
Palabras clave español |
Espacios de Bergman ; Operadores compactos ; Transformadas integrales ; Operadores de Toeplitz ; Integral de Berezin |
Código MathReviews |
MR2320405 |
Código Z-Math |
Zbl pre05149122 |
Acceso al artículo completo |