Atomic decomposition for Bergman spaces with exponential type weights

2014/05/03 by Hicham Arroussi, Arroussi, Hicham, Jordi Pau +1
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.1405.0578

The paper has been withdrawn by the authors due to a technical problem that afects the class of weights

arxiv created 2015/08/31 · arxiv updated 2015/09/01

Abstract

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.

Related

• Atomic decomposition of real-variable type for Bergman spaces in the unit ball of ℂⁿ
• New atomic decompositons for Bergman spaces on the unit ball
• New atomic decompositions of Bergman spaces on bounded symmetric domains
• Atomic decompositions for operators in reproducing kernel Hilbert spaces
• Coorbits for projective representations with an application to Bergman spaces