Phung Trong Thuc

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20112020

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math.CV2018

A note on $L^{2}$ boundary integrals of the Bergman kernel

Phung Trong Thuc

For any bounded convex domain $Ω$ with $C^{2}$ boundary in $C^{n}$ , we show that there exist positive constants $C_{1}$ and $C_{2}$ such that \[ C_{1}\sqrt{\dfrac{K\left(w…

math.CV2018

Bergman-Toeplitz operators on fat Hartogs triangles

Tran Vu Khanh, Jiakun Liu, Phung Trong Thuc

In this paper, we obtain some $L^{p}$ mapping properties of the Bergman-Toeplitz operator \[ f\longrightarrow T_{K^{-α}}\left(f\right):=\intop_ΩK_Ω\left(\cdot,w\right)K^{-α}\left(w…

A note on L2 boundary integrals of the Bergman kernel

Bergman-Toeplitz operators on fat Hartogs triangles

A note on $L^{2}$ boundary integrals of the Bergman kernel