This is a preview of subscription content, log in via an institution to check access.
Literature Cited
O. V. Besov, “Continuation of functions from Lp 1 and Wp I,” Tr. Matem. Inst. Akad. Nauk SSSR,89, 5–17 (1967).
V. P. Il'in, “Integral representations of differentiable functions and their application to questions of continuation of functions of the classes Wp (1) (G),” Sibirsk. Matem. Zh.,8, No. 3, 573–586 (1967).
O. V. Besov and P. I. Lizorkin, “Singular integral operators and sequences of convolutions in the spaces Lp,” Matem. Sb.,73, No. 1, 65–88 (1967).
Yu. S. Nikol'skii, “On singular integral operators in weight spaces,” Tr. Matem. Inst. Akad. Nauk SSSR,105, 190–200 (1969).
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Izd. LGU, Leningrad (1950).
S. L. Sobolev, “Density of functions with compact support in the space Lp m(En),” Dokl. Akad. Nauk SSSR,149, No. 1, 40–43 (1963).
V. R. Portnov, “A theorem on the density of functions with compact support in weight classes,” Dokl. Akad. Nauk SSSR,160, No. 3, 545–548 (1965).
T. S. Pigolkina, “On the density of functions with compact support in weight classes,” Matem. Zametki,2, No. 1, 53–60 (1967).
Yu. S. Nikol'skii, “Boundary values of functions from weight classes,” Dokl. Akad. Nauk SSSR,164, No. 3, 503–506 (1965).
L. N. Slobodetskii, “Estimates of the solutions of elliptic and parabolic systems,” Dokl. Akad. Nauk SSSR,120, No. 3, 468–471 (1958).
S. V. Uspenskii, “On mixed derivatives of functions which are summable with a weight,” Diff. Uravn.,3, No. 1, 139–155 (1967).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 1, pp. 158–170, January–February, 1971.
Rights and permissions
About this article
Cite this article
Nikol'skii, Y.S. Continuation of weight spaces of differentiable functions. Sib Math J 12, 113–122 (1971). https://doi.org/10.1007/BF00969147
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969147