This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. S. Fokht, “Integral estimates for generalized derivatives of solutions of equations of elliptic type of second order in the Lp metric and some interpolation theorems connected with them,” Tr. Mat. Inst. Akad. Nauk SSSR,117, 300–311 (1972).
L. Nirenberg, “An extended interpolation inequality,” (Estratto dagli) Annaii della Seuola Normale Superiore di Pisa, Classe di Scienze,20, No. 4, 733–737 (1966).
A. S. Fokht, “Inequalities for solutions of equations of elliptic type and their derivatives in the Lp metric,” Tr. Mat. Inst. Akad. Nauk SSSR,77, 168–191 (1965).
A. S. Fokht, “Estimates for derivatives of sums of Legendre functions in the L2 metric,” Differents. Uravn.,5, No. 1, 154–158 (1969).
A. S. Fokht, “Integral estimates for the derivative of a harmonic function on an N-dimensional domain in the L2 metric and some applications,” ibid,6, No. 7, 1329–1332 (1970).
V. A. Krasnov and A. S. Fokht, “Integral estimates for fractional derivatives of solutions of linear equations of elliptic type and their derivatives in the L2 metric. I,” ibid,11, No. 6, 1042–1053 (1975).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal. Vol. 29, No. 3, pp. 389–392, May–June, 1977.
Rights and permissions
About this article
Cite this article
Krasnov, V.A., Fokht, A.S. An interpolation theorem for sums of Legendre functions and its application. Ukr Math J 29, 297–299 (1977). https://doi.org/10.1007/BF01104480
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01104480