Abstract
Spaces of functions with norm which is a combination of the norms of Besov and Morrey spaces are studied in the work. For these spaces new imbedding theorems are obtained whose proof is based on the method of integral representations of functions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Imbedding Theorems [in Russian], Moscow (1975).
J. Ross, “A Morrey-Nicolskii inequality,” Proc. Am. Math. Soc.,78, 97–102 (1980).
G. T. Dzhumakaeva, “On a combination of the imbedding theorems of S. M. Nikol'skii and C Morrey,” in: Qualitative and Approximate Methods of Investigating Operator Equations [in Russian], Yakutsk (1982), pp. 59–66.
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 139, pp. 139–147, 1984.
Rights and permissions
About this article
Cite this article
Netrusov, Y.V. Some imbedding theorems for spaces of Besov-Morrey type. J Math Sci 36, 270–276 (1987). https://doi.org/10.1007/BF01091807
Issue Date:
DOI: https://doi.org/10.1007/BF01091807