Bergman-Toeplitz operators on weakly pseudoconvex domains

2017/10/30 by Khanh, Tran Vu, Liu, Jiakun, Thuc, Phung Trong
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1710.10761

Abstract

We prove that for certain classes of pseudoconvex domains of finite type, the Bergman-Toeplitz operator T_ψ with symbol ψ=K^-α maps from L^p to L^q continuously with 1< p≤ q

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