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Improvement of Besov Regularity for Solutions of the Fractional Laplacian

✍ Scribed by Aimar, Hugo; Beltritti, Gastón; Gómez, Ivana


Book ID
126791272
Publisher
Springer
Year
2014
Tongue
English
Weight
223 KB
Volume
41
Category
Article
ISSN
0176-4276

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📜 SIMILAR VOLUMES


Regularity of harmonic functions for ani
✍ Paweł Sztonyk 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 230 KB

## Abstract We prove that bounded harmonic functions of anisotropic fractional Laplacians are Hölder continuous under mild regularity assumptions on the corresponding Lévy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable