Sobolev imbedding operators and the nonisomorphism of certain Banach spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 4, pp. 22-27.

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S. V. Kislyakov. Sobolev imbedding operators and the nonisomorphism of certain Banach spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 9 (1975) no. 4, pp. 22-27. http://geodesic.mathdoc.fr/item/FAA_1975_9_4_a2/

[1] Lindenstrauss J. Pełczyński A., “Absolutely summing operators in $\mathcal L_p$-spaces and their applications”, Studia Math., 29:3 (1968), 275–326 | DOI | MR | Zbl

[2] Mityagin B.S., “Ob absolyutnoi skhodimosti ryada koeffitsientov Fure”, DAN SSSR, 157:5 (1964), 1047–1050 | Zbl

[3] Khenkin G.M., “Otsutstvie ravnomernogo gomeomorfizma mezhdu prostranstvami gladkikh funktsii ot odnogo i ot $n$ peremennykh ($n\ge2$)”, Matem. sb., 74 (1967), 595–607

[4] Pełczyński A., “Sur certains proprietés isomorphiques nouvelles des espaces de Banach de fonctions holomorphes $A$ et $H^\infty$”, C.r. Acad. scient., Paris, 279 (1974), A9–A11 | MR

[5] Pietsch A., “Absolut $p$-summierende Abbildungen in normierten Raumen”, Studia Math., 28 (1967), 333–353 | DOI | MR | Zbl

[6] Pich A., Yadernye lokalno vypuklye prostranstva, Mir, M., 1967 | MR

[7] Ilin V.P., “Nekotorye neravenstva v funktsionalnykh prostranstvakh i ikh primenenie k issledovaniyu skhodimosti variatsionnykh protsessov”, Trudy Matem. in-ta. imeni V.A. Steklova, LIII, 1959, 64–127 | MR | Zbl

[8] Kwapień S., “On a theorem of L. Schwartz and its applications to absolutely summing operators”, Studia Math., 38 (1970), 193–201 | DOI | MR | Zbl

[9] Linde W., Pietsch A., “Applications $\gamma$-sommantes dans les espaces de Banach”, C.r. Acad. scient., Paris, 277:5 (1973), A247–A248 | MR

[10] Zigmund A., Trigonometricheskie ryady, v. II, Mir, M., 1965 | MR

[11] Pietsch A., “$r$-nucleare Sobolevsche Einbettungsoperatoren”, Schriftenr. Inst. Math., Reihe A, 8 (1971), 204–215 | MR

[12] Schwartz L., “Applications radonifiantes dans les espaces de distributions sur $\mathbb R^n$”, Séminaire Laurent Schwartz 1969–1970, École Polytechnique, 14, 1970 | MR

[13] Vulikh B.3., Vvedenie v teoriyu poluuporyadochennykh prostranstv, Fizmatgiz, M., 1961 | MR

[14] Nielsen N.J., On Banach ideals determined by Banach lattices and their applications, Dissert. Math. (Rozprawy Mat.), 59, PWN, Warszawa, 1973 | MR