Best constants in multiplicative inequalities for sup-norms

Journal of the London Mathematical Society

Volumn 58, Issue 1, 1998, Pages 84-96

  Ilyin, A A ^a  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002039477     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S002461079800653X     Document Type: Article

References (7)

1. A. EDEN and C. FOIAS, 'A simple proof of the generalized Lieb-Thirring inequalities in one space dimension', J. Math. Anal. Appl. 162 (1991) 250-254.
2. G. H. HARDY, J. E. LITTLEWOOD and G. PÓLYA, Inequalities (Cambridge University Press, 1964).
3. L. V. TAIKOV, 'Kolmogorov-type inequalities and the best formulas for numerical differentiation', Mat. Zametki 4 (1968) 233-238 (in Russian); Math. Notes 4 (1968) 631-634 (in English).
4. L. V. TAIKOV, 'Kolmogorov-type inequalities and the best formulas for numerical differentiation', Mat. Zametki 4 (1968) 233-238 (in Russian); Math. Notes 4 (1968) 631-634 (in English).
5. R. TEMAM, Infinite dimensional dynamical systems in mechanics and physics (Springer, New York, 1988).
6. E. C. TITCHMARSH, The theory of functions (Oxford University Press, 1932).
7. 2-Laplacians and zero boundary values on arbitrary three-dimensional domains', Indiana Univ. Math. J. 40 (1991) 1185-1192.