On weighted positivity and the Wiener regularity of a boundary point for the fractional Laplacian

Arkiv for Matematik

Volumn 38, Issue 1, 2000, Pages 53-75

  Eilertsen, Stefan ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002949345     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02384490     Document Type: Article

References (16)

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3. MAZ'YA, V. G., On the behavior near the boundary of solutions to the Dirichlet problem for the biharmonic operator, Dokl. Akad. Nauk SSSR 235:6 (1977), 1263-1266 (Russian). English transl.: Soviet Math. Dokl. 18 (1977), 1152-1155.
4. MAZ'YA, V. G., Behavior of solutions to the Dirichlet problem for the biharmonic operator at a boundary point, in Equadiff IV (Fábera, J., ed.), Lecture Notes in Math. 703, pp. 250-262, Springer-Verlag, Berlin-Heidelberg, 1979.
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8. MAZ'YA, V. G. and DONCHEV, T., On the Wiener regularity of a boundary point for the polyharmonic operator, Dokl. Bolg. Akad. Nauk 36:2 (1983), 177-179 (Russian). English transl.: Amer. Math. Soc. Transl. 137 (1987), 53-55.
9. MAZ'YA, V. G. and OTELBAEV, M., Imbedding theorems and the spectrum of a pseudodifferential operator, Sibirsk Mat. Zh. 18 (1977), 1073-1087 (Russian). English transl.: Siberian Math. J. 18 (1977), 758-769.
10. MAZ'YA, V. G. and OTELBAEV, M., Imbedding theorems and the spectrum of a pseudodifferential operator, Sibirsk Mat. Zh. 18 (1977), 1073-1087 (Russian). English transl.: Siberian Math. J. 18 (1977), 758-769.
11. PRUDNIKOV, A. P., BRYCHKOV, YU. A. and MARICHEV, O. I., Integrals and Series, Vol. 1, 2: Elementary Functions, Special Functions, Nauka, Moscow, 1981 (Russian). English transl.: Gordon and Breach, Amsterdam, 1986.
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13. WIENER, N., Certain notions in potential theory, J. Math. Phys. 3 (1924), 24-51; also in Collected Works, vol. 1, pp. 364-491. MIT Press, Cambridge, Mass., 1976.
14. WIENER, N., Certain notions in potential theory, J. Math. Phys. 3 (1924), 24-51; also in Collected Works, vol. 1, pp. 364-491. MIT Press, Cambridge, Mass., 1976.
15. WIENER, N., The Dirichlet problem, J. Math. Phys. 3 (1924), 127-146; also in Collected Works, vol. 1, pp. 394-413, MIT Press, Cambridge, Mass., 1976.
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