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math.FA2014
Schatten class Toeplitz operators acting on large weighted Bergman spaces
Hicham Arroussi, Inyoung Park, Jordi Pau
A full description of the membership in the Schatten ideal for of the Toeplitz operator acting on large weighted Bergman spaces is obtained.
math.CV2014
Atomic decomposition for Bergman spaces with exponential type weights
Hicham Arroussi, Jordi Pau
We show that any function in a Bergman space with exponential type weights admits a representation in terms of an infinite series of kernel functions.