Geodesic
Discrete H\"older estimates for a~parametrix variation
Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 175-201

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In nonhomogeneous Hölder spaces, we prove continuity of integral operators with kernels from a special class and indicate simplest properties of this class. A parametrix of new type is constructed in a half-space for second order elliptic operators. We establish that, in local Hölder norms, it admits more exact estimate than that for a parametrix close to the Levi function. 
@article{MT_2014_17_1_a7,
     author = {A. I. Parfenov},
     title = {Discrete {H\"older} estimates for a~parametrix variation},
     journal = {Matemati\v{c}eskie trudy},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2014_17_1_a7/}
}
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A. I. Parfenov. Discrete H\"older estimates for a~parametrix variation. Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 175-201. http://geodesic.mathdoc.fr/item/MT_2014_17_1_a7/