Literature Cited
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Izd. Leningrad. Un-ta, Leningrad (1950).
S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems [in Russian], Fizmatgiz, Moscow (1969).
I. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, New Jersey (1970).
L. R. Volevich and B. P. Paneyakh, “Some spaces of generalized functions and imbedding theorems,” Usp. Mat. Nauk,20, No. 1, 3–74 (1965).
L. Hörmander, Linear Partial Differential Operators, Academic Press, New York (1963).
M. D. Ramazanov, “On a class of function spaces,” Differents. Uravnen.,2, No. 1, 65–82 (1966).
M. L. Gol'dman, “On integral representations and Fourier series of differentiable functions of several variables,” Candidate's Dissertation, Moscow (1972).
S. Bochner, Lectures on Fourier Integrals [Russian translation], Fizmatgiz, Moscow (1962).
G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press.
M. L. Gol'dman, “Isomorphism of generalized Hölder classes,” Differents. Uravnen.,7, No. 8, 1449–1458 (1971).
A. B. Gulisashvili, “An interpolation theorem of weak type and behavior of the Fourier transform of a function which has given Lebesgue sets,” Dokl. Akad. Nauk SSSR,218, No. 6, 1268–1271 (1974).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 17, No. 6, pp. 1236–1255, November–December, 1976.
Rights and permissions
About this article
Cite this article
Gol'dman, M.L. Traces of functions in a generalized Liouville class. Sib Math J 17, 907–920 (1976). https://doi.org/10.1007/BF00968017
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968017