Several inequalities for the Schwarzian derivative of a bounded analytic function
Sign Up to like & getrecommendations! Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2018.1530663
Abstract: ABSTRACT If f is an analytic self-map of the open unit disc , then its hyperbolic derivative and the Schwarzian derivative satisfy the inequality for all . The two-point version of this inequality is presented… read more here.
Keywords: analytic function; schwarzian derivative; derivative bounded; bounded analytic ... See more keywords
Higher Schwarzian derivative and Dirichlet Morrey space
Sign Up to like & getrecommendations! Published in 2019 at "Filomat"
DOI: 10.2298/fil1917489t
Abstract: We treat the logarithmic derivative model and Schwarzian derivative model of the Dirichlet-Morrey Teichm?ller space. It is shown that the higher Bers maps, induced by the higher Schwarzian differential operators, are holomorphic in Dirichlet-Morrey Teichm?ller… read more here.
Keywords: space; higher schwarzian; schwarzian derivative; dirichlet morrey ... See more keywords