Equivalent moduli of continuity, Bloch’s theorem for pluriharmonic mappings in \mathbb{B}{\kern-8pt}\mathbb{B}^{\boldsymbol n} |
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| Authors: | SH CHEN S PONNUSAMY X WANG |
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| Institution: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, People??s Republic of China
3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600 036, India
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| Abstract: | In this paper, we first establish a Schwarz?CPick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we obtain several Landau??s and Bloch??s type theorems for pluriharmonic mappings. |
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