Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 48, Number 3 (2004), 1067-1078.
Hilbert matrix on Bergman spaces
Abstract
The Hilbert matrix acts on Bergman spaces by multiplication on Taylor coefficients. We find an upper bound for the norm of the induced operator.
Article information
Source
Illinois J. Math., Volume 48, Number 3 (2004), 1067-1078.
Dates
First available in Project Euclid: 13 November 2009
Permanent link to this document
https://projecteuclid.org/euclid.ijm/1258131071
Digital Object Identifier
doi:10.1215/ijm/1258131071
Mathematical Reviews number (MathSciNet)
MR2114270
Zentralblatt MATH identifier
1080.47031
Subjects
Primary: 47B38: Operators on function spaces (general)
Secondary: 30D55 30D60: Quasi-analytic and other classes of functions
Citation
Diamantopoulos, E. Hilbert matrix on Bergman spaces. Illinois J. Math. 48 (2004), no. 3, 1067--1078. doi:10.1215/ijm/1258131071. https://projecteuclid.org/euclid.ijm/1258131071
