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1.
V. A. Kofanov 《Ukrainian Mathematical Journal》2009,61(6):908-922
For an arbitrary fixed segment [α, β] ⊂ R and given r ∈ N, A
r
, A
0, and p > 0, we solve the extremal problem
òab | x(k)(t) |qdt ? sup, q \geqslant p, k = 0, q \geqslant 1, 1 \leqslant k \leqslant r - 1, \int\limits_\alpha^\beta {{{\left| {{x^{(k)}}(t)} \right|}^q}dt \to \sup, \,\,\,\,q \geqslant p,\,\,\,k = 0,\,\,\,q \geqslant 1,\,\,\,\,1 \leqslant k \leqslant r - 1,} 相似文献
2.
This paper resolves a number of problems in the perturbation theory of linear operators, linked with the 45-year-old conjecure
of M. G. Kreĭn. In particular, we prove that every Lipschitz function is operator-Lipschitz in the Schatten–von Neumann ideals
S
α
, 1 < α < ∞. Alternatively, for every 1 < α < ∞, there is a constant c
α
> 0 such that
|