A remark on the Kolmogorov-Stein inequality

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 3, 1996, Pages 861-867

  Bang, Ha Huy ^a  

^a INSTITUTE OF MATHEMATICS   (Viet Nam)

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[No Author keywords available]

Indexed keywords

EID: 0030295873     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0417     Document Type: Article

References (12)

1. 1. A. N. Kolmogorov, On inequalities between upper bounds of the successive derivatives of an arbitrary function on an infinite interval, in "Amer. Math. Soc. Transl. Ser. 1," Vol. 2, pp. 233-243, Amer. Math. Soc., Providence, 1962.
2. 2. E. M. Stein, Functions of exponential type, Ann. Math. 65 (1957), 582-592.
3. 3. M. W. Certain and T. G. Kurtz, Landau-Kolmogorov inequalities for semigroups and groups, Proc. Amer. Math. Soc. 63 (1977), 226-230.
4. 4. V. M. Tikhomirov and G. G. Magaril-Il'jaev, Inequalities for derivatives, in "Kolmogorov A. N. Selected Papers," pp. 387-390, Nauka, Moscow, 1985.
5. 5. Ha Huy Bang, Some imbedding theorems for the spaces of infinite order of periodic functions, Math. Notes 43 (1988), 509-517.
6. 6. Ha Huy Bang, On imbedding theorems for Sobolev spaces of infinite order, Mat. Sb. 178 (1988), 115-127.
7. 7. Ha Huy Bang, Imbedding theorems for Sobolev spaces of infinite order, Acta Math. Vietnam. 14 (1989), 17-29.
8. 8. Ha Huy Bang, A property of infinitely differentiable functions, Proc. Amer. Math. Soc. 108 (1990), 73-76.
9. 9. R. O'Neil, Fractional integration in Orlicz space, I, Trans. Amer. Math. Soc. 115 (1965), 300-328.
10. 10. W. Luxemburg, "Banach Function Spaces," Thesis, Technische Hogeschool te Delft, The Netherlands, 1955.
11. 11. M. A. Krasnoselsky and Y. B. Rutisky, "Convex Functions and Orlicz Spaces," GITTL, Moscow, 1958; English translation, Noordhoff, Groningen, 1961.
12. 12. R. Adams, "Sobolev Spaces," Academic Press, New York, 1975.