Mean Hölder–Lipschitz potentials in curved Campanato–Radon spaces and equations $$(-\Delta )^{\frac{\alpha }{2}}u=\mu = F

Mean Hölder–Lipschitz potentials in curved Campanato–Radon spaces and equations $$(-\Delta )^{\frac{\alpha }{2}}u=\mu = F_k[u]$$

Published:2019-06-01 Issue:3-4 Volume:375 Page:1045-1077
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Liu Liguang,Xiao Jie

Funder

National Natural Science Foundation of China

NSERC of Canada

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00208-019-01849-w.pdf

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3. Bourgain, J., Brezis, H., Mironescu, P.: Limiting embedding theorems for $$W^{s, p}$$ when $$s\rightarrow 1$$ and applications. J. Anal. Math. 87, 77–101 (2002)

4. Brasseur, J.: A Bourgain-Brezis-Mironescu characterization of higher order Besov-Nikol’skii spaces. Ann. Inst. Fourier 68, 1671–1714 (2018)

5. Bucur, C.: Some observations on the Green function for the ball in the fractional Laplace framework. Commun. Pure Appl. Anal. 15, 657–699 (2016)

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