TY  - INPR
A1  - Korkey, Michael Brian
T1  - Optimal factorization of Muckenhoupt weights
N2  - Peter Jones' theorem on the factorization of Ap weights is sharpened for weights with bounds near 1, allowing the factorization to be performed continuously near the limiting, unweighted case. When 1 < p < infinite and omega is an Ap weight with bound Ap(omega) = 1 + epsilon, it is shown that there exist Asub1 weights u, v such that both the formula omega = uv(1-p) and the estimates A1 (u), A1 (v) = 1 + Omikron (√epsilon) hold. The square root in these estimates is also proven to be the correct asymptotic power as epsilon -> 0.
T3  - Preprint - (1998) 15 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2322
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-25266
ER  -