Approximation by harmonic functions in the $C^1$-norm and harmonic $C^1$-content of compact subsets in $\mathbb R^n$
Matematičeskie zametki, Tome 53 (1993) no. 4, pp. 21-30.

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P. M. Gauthier; P. V. Paramonov. Approximation by harmonic functions in the $C^1$-norm and harmonic $C^1$-content of compact subsets in $\mathbb R^n$. Matematičeskie zametki, Tome 53 (1993) no. 4, pp. 21-30. http://geodesic.mathdoc.fr/item/MZM_1993_53_4_a2/

[1] Khavinson D., “Annihilating measures of the algebra $R(X)$”, J. Funct. Anal., 58 (1984), 175–193 | DOI | MR | Zbl

[2] Gamelin T., Khavinson D., “The isoperimetric inequality and rational approximation”, Amer. Math. Month., 96:1 (1989), 18–30 | DOI | MR | Zbl

[3] Khavinson D., “Symmetry and uniform approximation by analytic functions”, Proc. Amer. Math. Soc., 101:3 (1987), 475–483 | DOI | MR | Zbl

[4] Alexander H., “Projections of polynomial hulls”, J. Funct. Anal., 13 (1973), 13–19 | DOI | MR | Zbl

[5] Khavinson D., “On uniform approximation by harmonic functions”, Michigan Math. J., 34 (1987), 465–473 | DOI | MR | Zbl

[6] Paramonov P. V., “O garmonicheskikh approksimatsiyakh v $C^1$-norme”, Matem. sb., 181:10 (1990), 1341–1365

[7] Ahlfors L., Beurling A., “Conformal invariants and function-theoretic null-sets”, Acta Math., 83:1 (1950), 101–129 | DOI | MR | Zbl