Angular Derivatives for Holomorphic Self-Maps of the Disk
Sign Up to like & getrecommendations! Published in 2017 at "Computational Methods and Function Theory"
DOI: 10.1007/s40315-017-0199-x
Abstract: Let the function $$\varphi $$φ be holomorphic in the unit disk $$\mathbb {D}$$D and let $$\varphi (\mathbb {D})\subset \mathbb {D}$$φ(D)⊂D. We consider points $$\zeta \in \partial \mathbb {D}$$ζ∈∂D where $$\varphi $$φ has an angular limit… read more here.
Keywords: points zeta; angular derivatives; mathbb; varphi ... See more keywords
Angular derivatives and boundary values of H(b) spaces of unit ball of ℂn
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DOI: 10.1080/17476933.2020.1715373
Abstract: In this work, deBranges–Rovnyak spaces, , on the unit ball of are studied. An integral representation of the functions in through the Clark measure on associated with b is given and a characterization of admissible… read more here.
Keywords: derivatives boundary; unit ball; angular derivatives; spaces unit ... See more keywords
Angular derivatives and semigroups of holomorphic functions
Sign Up to like & getrecommendations! Published in 2019 at "Illinois Journal of Mathematics"
DOI: 10.1215/00192082-7897499
Abstract: A simply connected domain Ω⊂C is convex in the positive direction if for every z∈Ω, the half-line {z+t:t≥0} is contained in Ω. We provide necessary and sufficient conditions for the existence of an angular derivative… read more here.
Keywords: semigroups holomorphic; angular derivatives; holomorphic functions; derivatives semigroups ... See more keywords