Universidad Complutense de Madrid
E-Prints Complutense

The role of BMOA in the boundedness of weighted composition operators

Impacto

Downloads

Downloads per month over past year

Gallardo Gutiérrez, Eva A. and Partington, Jonathan R. (2010) The role of BMOA in the boundedness of weighted composition operators. Journal of Functional Analysis, 258 (11). pp. 3593-3603. ISSN 0022-1236

[img] PDF
Restringido a Repository staff only

151kB
[img] PDF
Restringido a Repository staff only

72kB

Official URL: http://www.sciencedirect.com/science/article/pii/S0022123610000960


URLURL Type
http://www.sciencedirect.com/Publisher


Abstract

Boundedness (resp. compactness) of weighted composition operators W(h, phi) acting on the classical Hardy space H(2) as W(h, phi) f = h (f o phi) are characterized in terms of a Nevanlinna counting function associated to the symbols h and phi whenever h is an element of BMOA (resp. h is an element of VMOA). Analogous results are given for H(p) spaces and the scale of weighted Bergman spaces. In the latter case, BMOA is replaced by the Bloch space (resp. VMOA by the little Bloch space).


Item Type:Article
Additional Information:

Corrigendum to "The role of BMOA in the boundedness of weighted composition operators" [J. Funct. Anal. 258 (11) (2010) 3593–3603] J. Funct. Anal. 259 (2010), no. 10, 2757–2758

Uncontrolled Keywords:Weighted composition operators; BMOA and VMOA; Nevanlinna counting functions
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:20945
Deposited On:24 Apr 2013 08:43
Last Modified:10 Aug 2018 11:41

Origin of downloads

Repository Staff Only: item control page