March 12th 2024 - Jinsong Liu- Riesz conjugate function theorem for harmonic quasiconformal mappings

Описание к видео March 12th 2024 - Jinsong Liu- Riesz conjugate function theorem for harmonic quasiconformal mappings

Pacific Quasiworld Seminar: Jinsong Liu (Chinese Academy of Sciences, China)

Title: Riesz conjugate function theorem for harmonic quasiconformal mappings

Abstract：In this talk we will introduce the Riesz conjugate functions theorem for planar harmonic K-quasiregular mappings (when p is between 1 and 2) and harmonic K-quasiconformal mappings (when p is strictly between 2 and infinity) in the unit disk. Moreover, if K=1, then our constant coincides with the classical analytic case. For the n-dimensional case (n greater than 2), we also obtain the Riesz conjugate functions theorem for invariant harmonic K-quasiregular mappings when p is between 1 and 2. This is a joint work with Dr. Jianfeng Zhu.

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