Geodesic
The Trace Class Property of Embedding Operators of Sobolev Classes into Weighted Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 31 (1997) no. 3, pp. 85-88.

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O. G. Parfenov. The Trace Class Property of Embedding Operators of Sobolev Classes into Weighted Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 31 (1997) no. 3, pp. 85-88. http://geodesic.mathdoc.fr/item/FAA_1997_31_3_a11/

[1] Oleinik V. L., Pavlov B. S., “O kriteriyakh ogranichennosti i polnoi nepreryvnosti nekotorykh operatorov vlozheniya”, Problemy matematicheskoi fiziki, vyp. 4, izd-vo LGU, 1970, 112–118 | MR

[2] Mazya V. G., Shaposhnikova T. O., Multiplikatory v prostranstvakh differentsiruemykh funktsii, Izd-vo LGU, L-d, 1986 | MR

[3] Sawyer E., “Multipliers of Besov and power-weighted $L^{2}$ spaces”, Ind. Univ. Math. J., 33:3 (1984), 353–366 | DOI | MR | Zbl

[4] Pich A., Operatornye idealy, Mir, M., 1982 | MR

[5] Parfenov O. G., “Criteria of nuclearity of embedding operators acting between Bergman spaces and weighted Lebesque [Lebesgue] spaces”, Math. Nachr., 154 (1991), 105–115 | DOI | MR | Zbl

[6] Tong A., “Diagonal nuclear operators on $l_{p}$ spaces”, Trans. Amer. Math. Soc., 143 (1969), 235–247 | DOI | MR | Zbl

[7] Gluskin E. D., Kislyakov S. V., Reinov O. I., Zap. nauchn. sem. LOMI, 92, 1979, 85–102 | MR | Zbl