Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces

Let $\mu$ be a nonnegative Borel measure on the unit disk of the complex plane. We characterize those measures $\mu$ 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 $Q_s$ spaces, are embedded boundedly or compactly into the tent-type spaces $T^{\infty}_{p,s}(\mu)$. The results are applied to characterize boundedness and compactness of Riemann-Stieltjes operators and multiplication operators on $F(p,q,s)$.Comment: 26 page

Schatten classes of integration operators on Dirichlet spaces

We address the question of describing the membership to Schatten-Von Neumann ideals $\mathcal{S}_ p$ of integration operators $(T_ g f)(z)=\int_{0}^{z}f(\zeta)\,g'(\zeta)\,d\zeta$ acting on Dirichlet type spaces. We also study this problem for multiplication, Hankel and Toeplitz operators. In particular, we provide an extension of Luecking's result on Toeplitz operators.Comment: Accepted for publication in Journal d' Analyse Mathem\'atique, (2012

Technology Shocks and Aggregate Fluctuations: How Well Does the RBS Model Fit Postwar U.S. Data?

Our answer: not so well. We reach that conclusion after reviewing recent research on the role of technology as a source of economic fluctuations. The bulk of the evidence suggests a limited role for aggregate technology shocks, pointing instead to demand factors as the main force behind the strong positive comovement between output and labor input measures.

A remark on Schatten class Toeplitz operators on Bergman spaces

We provide a new characterization (valid for all $0 <p<\infty$) of Schatten class membership of Toeplitz operators induced by positive measures acting on weighted Bergman spaces on the unit ball. The result is new even for the case of the unit disk