Joan Fàbrega

Sharp Norm Estimates for the Bergman Operator from Weighted Mixed-norm Spaces to Weighted Hardy Spaces

In this paper we give sharp norm estimates for the Bergman operator acting from weighted mixed-norm spaces to weighted Hardy spaces in the ball, endowed with natural norms.

On Integral Equations Related to Weighted Toeplitz Operators

For weighted Toeplitz operators

Holomorphic Triebel–Lizorkin Spaces

{{\mathcal T}^N_\varphi}

Multipliers in Hardy-Sobolev Spaces

defined on spaces of holomorphic functions in the unit ball, we derive regularity properties of the solutions f to the equation

Pointwise multipliers and decomposition theorems in F ∞,q s

{{\mathcal T}^N_\varphi(f)=h}

On Weighted Toeplitz, Big Hankel Operators and Carleson Measures

in terms of the regularity of the symbol φ and the data h. As an application, we deduce that if