Carleson Measures, Riemann–Stieltjes and Multiplication Operators on a General Family of Function Spaces
105 citations recorded by the source corpus.
Let μ be a nonnegative Borel measure on the unit disk of the complex plane. We characterize those measures μ such that the general family of spaces of analytic functions, F(p, q, s), which contain many classical function spaces, including the Bloch space, BMOA and the Qs spaces, are embedded boundedly or compactly into the tent-type spaces $${T^{\infty}_{p, s}(\mu)}$$Tp,s∞(μ). The results are applied to characterize boundedness and compactness of Riemann–Stieltjes operators and multiplication operators on F(p, q, s).
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/c7475a0b9077a545f2dcfb9233452ec308a86731
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
Citations in the corpus
- Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball (2014, background): “For the case of the unit disk, this result can be found in [25].”