Difference of composition operators between weighted Bergman spaces on the unit ball

2019/03/02 by Shi, Yecheng, Li, Songxiao, Du, Juntao
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1903.00651

Abstract

We obtain some estimates for norm and essential norm of the difference of two composition operators between weighted Bergman spaces A^p_α and A^q_β on the unit ball. In particular, we completely characterize the boundedness and compactness of C_φ-C_ψ: A^p_α→ A^q_β for full range 0

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