Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 13, Number 2 (2019), 468-485.
Solid cores and solid hulls of weighted Bergman spaces
We determine the solid hull for and the solid core for of weighted Bergman spaces , of analytic functions on the disk and on the whole complex plane, for a very general class of nonatomic positive bounded Borel measures . New examples are presented. Moreover, we show that the space , is solid if and only if the monomials are an unconditional basis of this space.
Banach J. Math. Anal., Volume 13, Number 2 (2019), 468-485.
Received: 9 July 2018
Accepted: 10 December 2018
First available in Project Euclid: 26 February 2019
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46E15: Banach spaces of continuous, differentiable or analytic functions
Secondary: 46B15: Summability and bases [See also 46A35]
Bonet, José; Lusky, Wolfgang; Taskinen, Jari. Solid cores and solid hulls of weighted Bergman spaces. Banach J. Math. Anal. 13 (2019), no. 2, 468--485. doi:10.1215/17358787-2018-0049. https://projecteuclid.org/euclid.bjma/1551150773