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Harmonic extensions

✍ Scribed by Marston Morse

Publisher
Springer Vienna
Year
1963
Tongue
English
Weight
385 KB
Volume
67
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Harmonic extensions of distributions
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✍ Josefina Alvarez; Martha GuzmΓ‘n–Partida; Salvador PΓ©rez–Esteva πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 279 KB

## Abstract We obtain harmonic extensions to the upper half space of distributions in the weighted space __w__^__n__ +1^__D__ β€², which is the optimal space of tempered distributions __S__ ′‐convolvable with the classical Euclidean version of the Poisson kernel. We also characterize the class of har

Quasiconformality of harmonic extensions
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✍ Dariusz Partyka; Ken-Ichi Sakan πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 139 KB

Continued from Partyka and Sakan (Bull. Soc. Sci. Letters Là odà z 47 (1997) 51-63) this paper aims at giving necessary and su cient conditions on sense-preserving homeomorphisms of the unit circle for the quasiconformality of their harmonic extensions to the unit disk. In particular, all such homeo