Spectra of Weighted Composition Operators on Analytic Function Spaces
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DOI: 10.1007/s00009-019-1465-0
Abstract: Let E be a complex Banach space with open unit ball $$B_E.$$BE. For analytic self-maps $$\varphi $$φ of $$B_E$$BE with $$\varphi (0) =0,$$φ(0)=0, we investigate the spectra of weighted composition operators $$uC_\varphi $$uCφ acting on… read more here.
Keywords: weighted composition; analytic function; operators analytic; spectra weighted ... See more keywords
Birkhoff–James Orthogonality and the Zeros of an Analytic Function
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DOI: 10.1007/s40315-017-0191-5
Abstract: Bounds are obtained for the zeros of an analytic function on a disk in terms of the Taylor coefficients of the function. These results are derived using the notion of Birkhoff–James orthogonality in the sequence… read more here.
Keywords: zeros analytic; analytic function; birkhoff james; function ... See more keywords
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