Voir la notice de l'article provenant de la source Cambridge University Press
Mateu, Joan. A Counterexample in Lp Approximation by Harmonic Functions. Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 568-582. doi: 10.4153/CJM-1997-026-3
@article{10_4153_CJM_1997_026_3,
author = {Mateu, Joan},
title = {A {Counterexample} in {Lp} {Approximation} by {Harmonic} {Functions}},
journal = {Canadian journal of mathematics},
pages = {568--582},
year = {1997},
volume = {49},
number = {3},
doi = {10.4153/CJM-1997-026-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-026-3/}
}
Adams, D.R., Hedberg, L.I., Function spaces and potential theory, Springer, Berlin and Heidelberg, 1996. Google Scholar
Bagby, T., Approximation in the mean by solutions of elliptic equations, Trans. Amer. Math. Soc. 281(1984), 761–784. Google Scholar
Brelot, M., Sur les ensembles effilés, Bull. Sci. Math. 68(1944), 12–36. Google Scholar
Carleson, L., Selected problems on exceptional sets, Van Nostrand, Princeton, New Jersey, 1967. Google Scholar
Gamelin, T.W., Uniform Algebras, Prentice Hall, Englewood Cliff, New Jersey, 1969. Google Scholar
Hedberg, L.I., Non-linear potentials and approximation in the mean by analytic functions, Math. Z. 129(1972), 299–319. Google Scholar
Hedberg, L.I., Approximation in the mean by solutions of elliptic equations, Duke Math. J. 40(1973), 9–16. Google Scholar
Hedberg, L.I., Two approximation problems in function spaces, Ark.Mat. 16(1978), 51–81. Google Scholar
Hedberg, L.I., Spectral synthesis in Sobolev spaces, and uniqueness of solutions of the Dirichlet problem, Acta Math. 147(1981), 237–264. Google Scholar
Hedberg, L.I. and Wolff, T., Thin sets in nonlinear potential theory, Ann. Inst. Fourier (Grenoble) (4) 33(1983), 161–187. Google Scholar
Mateu, J., Netrusov, Y., Orobitg, J. and Verdera, J., BMO and Lipschitz approximation by solutions of elliptic equations, Ann. Inst. Fourier (Grenoble) (4) 46(1996), 1057–1081. Google Scholar
Meyers, N.G., A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand. 26(1970), 225–292. Google Scholar
O’Farrell, A.G., Hausdorff content and rational approximation in fractional Lipschitz norms, Trans.Amer. Math. Soc. 228(1977), 187–206. Google Scholar
Polking, J.C., Approximation in Lp by solutions of elliptic partial differential equations, Amer. J. Math. 94(1972), 1231–1244. Google Scholar
Stein, E.M., Singular integrals and differentiability properties of functions, Princeton University Press, Princeton, New Jersey, 1970. Google Scholar
Cité par Sources :