Geodesic
On the estimation of the norms of intermediate derivatives in some abstract spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 73-83 
S. S. Mirzoev; S. G. Veliev. On the estimation of the norms of intermediate derivatives in some abstract spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 1, pp. 73-83. http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a5/
@article{JMAG_2010_6_1_a5,
     author = {S. S. Mirzoev and S. G. Veliev},
     title = {On the estimation of the norms of intermediate derivatives in some abstract spaces},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {73--83},
     year = {2010},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a5/}
}
TY  - JOUR
AU  - S. S. Mirzoev
AU  - S. G. Veliev
TI  - On the estimation of the norms of intermediate derivatives in some abstract spaces
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2010
SP  - 73
EP  - 83
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a5/
LA  - en
ID  - JMAG_2010_6_1_a5
ER  - 
%0 Journal Article
%A S. S. Mirzoev
%A S. G. Veliev
%T On the estimation of the norms of intermediate derivatives in some abstract spaces
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2010
%P 73-83
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2010_6_1_a5/
%G en
%F JMAG_2010_6_1_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

The theorems on the exact estimates of norms of intermediate derivatives in some Sobolev type abstract spaces are obtained. The formulas for calculating the norms are given.

[1] J.-L. Lions, E. Magenes, Nonhomogenous Boundary Value Problems and Applications, Mir, Moscow, 1971 | Zbl

[2] G. T. Hardy, D. E. Littlewood, G. Polia, Inequalities, IL, Moscow, 1948 | MR

[3] S. B. Stechkin, “Inequalities Between the Norms of the Derivatives of an Arbitrary Function”, Acta Sci. Math., 26 (1965), 225–230 | MR | Zbl

[4] V. V. Arestov, “Precise Inequalities Between the Norms of Functions and their Derivatives”, Acta Sci. Math., 33:3–4 (1972), 249–267 | MR

[5] V. N. Gabushin, “On the Best Approximation of the DiRerentiation Operator on the Half-Line”, Math. Zametki, 6:5 (1969), 573–582 | MR | Zbl

[6] S. S. Mirzoev, “On the Norms of Operators of Intermediate Derivatives”, Transac. NAS Azerb., XXIII:1 (2003), 157–164 | MR

[7] S. S. Mirzoev, “Conditions for the Correct Solvability of Boundary Value Problems for Operator DiRerential Equations”, DAN SSSR, 273:2 (1983), 292–295 | MR | Zbl