The Schwarz-Pick lemma of high order in several variables
classification
🧮 math.CV
keywords
lemmaorderschwarz-pickhighmappingsarbitraryballsbergman
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We prove a high order Schwarz-Pick lemma for mappings between unit balls in complex spaces in terms of the Bergman metric. From this lemma, Schwarz-Pick estimates for partial derivatives of arbitrary order of mappings are deduced.
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