Interpolation of Spaces of Functions of Positive Smoothness on a Domain

Doklady Mathematics - Tập 102 - Trang 451-455 - 2021
O. V. Besov1
1Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Tóm tắt

An interpolation theorem for spaces of functions of positive smoothness on a domain with flexible cone condition is established.

Tài liệu tham khảo

O. V. Besov, V. P. Il’in, and S. M. Nikol’skii, Integral Representations of Functions and Imbedding Theorems (Wiley, New York, 1978; Nauka, Moscow, 1996). H. Triebel, Interpolation Theory, Function Spaces, Differential Operators (Springer-Verlag, Berlin, 1978). J. Bergh and J. Löfström, Interpolation Spaces: An Introduction (Springer-Verlag, Berlin, 1976). S. S. Ajiev, Proc. Steklov Inst. Math. 227, 1–36 (1999).