THE JOHN-NIRENBERG CONSTANT OF BMOp, p > 2. / Slavin, L.; Vasyunin, V.
In: St. Petersburg Mathematical Journal, Vol. 28, No. 2, 04.2017, p. 181-196.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - THE JOHN-NIRENBERG CONSTANT OF BMOp, p > 2
AU - Slavin, L.
AU - Vasyunin, V.
PY - 2017/4
Y1 - 2017/4
N2 - This paper is a continuation of earlier work by the first author who determined the John-Nirenberg constant of BMOp ((0, 1)) for the range 1 2. As before, the main results rely on Bellman functions for the L-p norms of the logarithms of A(infinity) weights, but for p 2 these functions turn out to have a significantly more complicated structure than for 1
AB - This paper is a continuation of earlier work by the first author who determined the John-Nirenberg constant of BMOp ((0, 1)) for the range 1 2. As before, the main results rely on Bellman functions for the L-p norms of the logarithms of A(infinity) weights, but for p 2 these functions turn out to have a significantly more complicated structure than for 1
KW - BMO
KW - John-Nirenberg inequality
KW - Bellman function
KW - MEAN-OSCILLATION
U2 - 10.1090/spmj/1445
DO - 10.1090/spmj/1445
M3 - статья
VL - 28
SP - 181
EP - 196
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 2
ER -
ID: 9302019