A Shimorin-Type Estimate for Higher-Order Schwarzian Derivatives
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Using Grunsky inequalities, an estimate on the norm of the multiplication by higher-order Schwarzian derivatives in weighted Bergman spaces is given.
KeywordsSchwarzian derivative Bergman spaces Aharonov invariants
Mathematics Subject Classification30H20 30C55
The author would like to express his gratitude to the referee for several suggestions and for drawing his attention to Aharonov invariants.