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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@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
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/

[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