The inverse interpolation problem for operators

Е. И. Бережной1
1Yaroslavl University, USSR

Tóm tắt

Từ khóa


Tài liệu tham khảo

V. B. Korotkov,Integral Operators [in Russian], Nauka, Novosibirsk (1983).

P. Jones, “Factorization ofA p-weights,”Ann. Math.,111, No. 3, 511–530 (1980).

B. Muckenhoupt, “Weighted norm inequalities for the Hardy maximal function,”Trans. Amer. Math. Soc.,165, 207–226 (1972).

J. Bergh and J. Löfström,Interpolation Spaces. An Introduction, Springer-Verlag, Berlin-Heidelberg-New York (1976).

Yu. Brudniy and N. Kruglyak,Interpolation Functions and Interpolation Spaces, North Holland Press, Amsterdam (1991).

S. G. Krein, Yu. I. Petunin and E. M. Semenov,Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).

L. V. Kantorovich and G. P. Akilov,Functional Analysis [in Russian], Nauka, Moscow (1977).

J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces, Vols. I, II, Springer-Verlag, Berlin (1973, 1979).

V. G. Maz'ya,Sobolev spaces [in Russian], Izdat. Leningrad. Univ., Leningrad (1985).

E. I. Berezhnoi and P. P. Zabreiko, “Interpolation of partially additive operators,” Dokl. Akad. Nauk Belorus. SSRXXX, No. 2, 108–111 (1986).

E. I. Berezhnoi and P. P. Zabreiko, “Some interpolation theory for nonlinear operators,”Nonlinear Analysis,12, No. 2, 155–170 (1988).