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Titlebook: Quasiconformal Mappings and Analysis; A Collection of Pape Peter Duren,Juha Heinonen,Bruce Palka Book 1998 Springer Science+Business Media

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Planar Quasiconformal Mappings; Deformations and Interactions,ore we concentrate on a specific theme, a property that singles out the difference between mappings in plane and in space: Planar quasiconformal mappings admit an effective deformation theory; any such mapping can be deformed to the identity, within the family of all quasiconformal mappings.
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Overview: 978-1-4612-6836-9978-1-4612-0605-7
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https://doi.org/10.1007/978-1-4612-0605-7calculus; derivative; extrema; mathematical analysis; minimum
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Local Minimality Results Related to the Bloch and Landau Constants,Let .(.)denote the set of functions holomorphic in the unit disk .The theorem of Bloch, [Bh] from 1925, asserts existence of an absolute constant . such that for each .there is a disk of radius . which is the one-one image under . of some subdomain of .Such a disk is called a “schlicht disk” for . The best, i.e., largest, value of B is called .
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