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Convolutions of slanted half-plane harmonic mappings [PDF]
Let ${\mathcal S^0}(H_{\gamma})$ denote the class of all univalent, harmonic, sense-preserving and normalized mappings $f$ of the unit disk $\ID$ onto the slanted half-plane $H_\gamma :=\{w:\,{\rm Re\,}(e^{i\gamma}w) >-1/2\}$ with an additional condition
Li, Liulan, Ponnusamy, S.
core
Orlicz norm inequalities for the composite operator and applications
In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
doaj
Value distribution and potential theory
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard's theorems to quasiregular maps between Riemannian ...
Eremenko, Alexandre
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A note on quasiconformal maps with Holder-continuous dilatation
Here we give an alternate proof of a sufficient condition due to J. Mateu, J. Orobitg, and J. Verdera for a quasiconformal map of the plane with dilatation supported in a smooth domain to be bi-Lipschitz.
Gill, James T., Rohde, Steffen
core
Generalized dimension compression under mappings of exponentially integrable distortion
Zapadinskaya Aleksandra
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Composition operators on W 1 X are necessarily induced by quasiconformal mappings
Kleprlík Luděk
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Mappings of finite distortion: condition N
Michigan Mathematical Journal, 2001Pekka Koskela, Jan Maly
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The Schwarzian derivative and conformal mapping of Riemannian manifolds
Duke Mathematical Journal, 1992Brad Osgood
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