Distortion properties of quasiconformal maps
Bhayo, Barkat Ali (2010-05-14T07:16:54Z)
Distortion properties of quasiconformal maps
(14.05.2010)
Turun yliopisto
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe201101181078
https://urn.fi/URN:NBN:fi-fe201101181078
Kuvaus
Siirretty Doriasta
Tiivistelmä
In this Licentiate thesis we investigate the absolute ratio δ, j, ˜j and hyperbolic ρ metrics and their relations with each other. Various growth estimates are given
for quasiconformal mpas both in plane and space. Some Hölder constants were refined with respect δ, j ˜j metrics. Some new results regarding the Hölder continuity of quasiconformal and quasiregular mapping of unit ball with respect to Euclidean and hyperbolic metrics are given, which were obtained by many authors in 1980’s.
Applications are given to the study of metric space, quasiconformal and quasiregular maps in the plane and as well as in the space.
for quasiconformal mpas both in plane and space. Some Hölder constants were refined with respect δ, j ˜j metrics. Some new results regarding the Hölder continuity of quasiconformal and quasiregular mapping of unit ball with respect to Euclidean and hyperbolic metrics are given, which were obtained by many authors in 1980’s.
Applications are given to the study of metric space, quasiconformal and quasiregular maps in the plane and as well as in the space.