Geodesic
Constructive description of H\"older classes on compact subsets of $\mathbb{R}^3$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 48, Tome 491 (2020), pp. 119-144

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We give a constructive description of Hölder classes of functions on a compact subset of a chord-arc curve in $\mathbb{R}^3$ in terms of the rate of approximation by harmonic functions. 
@article{ZNSL_2020_491_a6,
     author = {D. A. Pavlov},
     title = {Constructive description of {H\"older} classes on compact subsets of $\mathbb{R}^3$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {119--144},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_491_a6/}
}
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D. A. Pavlov. Constructive description of H\"older classes on compact subsets of $\mathbb{R}^3$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 48, Tome 491 (2020), pp. 119-144. http://geodesic.mathdoc.fr/item/ZNSL_2020_491_a6/