Research output: Contribution to journal › Article › peer-review
On exact constant in a one-dimensional embedding theorem. / Nazarov, A. I.
In: Journal of Mathematical Sciences , Vol. 101, No. 2, 01.01.2000, p. 2975-2986.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On exact constant in a one-dimensional embedding theorem
AU - Nazarov, A. I.
PY - 2000/1/1
Y1 - 2000/1/1
N2 - In the case 1 ≤ p < q ≤ ∞, the question on the exact constant in the embedding of the space Wp1 (0.1) into the space Lq(0.1) is studied, i.e., min ∥y∥Wpl/∥y∥Lq = λpq > 0, where the norm is defined by the equality ∥y∥Wplp = ∥y′∥Lpp + ∥y∥Lpp. Bibliography: 5 titles.
AB - In the case 1 ≤ p < q ≤ ∞, the question on the exact constant in the embedding of the space Wp1 (0.1) into the space Lq(0.1) is studied, i.e., min ∥y∥Wpl/∥y∥Lq = λpq > 0, where the norm is defined by the equality ∥y∥Wplp = ∥y′∥Lpp + ∥y∥Lpp. Bibliography: 5 titles.
UR - http://www.scopus.com/inward/record.url?scp=52849105171&partnerID=8YFLogxK
U2 - 10.1007/BF02672181
DO - 10.1007/BF02672181
M3 - Article
AN - SCOPUS:52849105171
VL - 101
SP - 2975
EP - 2986
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 45874030