Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 140, Issue 8, Pages 2783-2790Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2011-11165-1
Keywords
Calderon-Zygmund operators; A(2) weights; interpolation
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We prove that for a general Calderon-Zygmund operator T the numbers parallel to T parallel to(Lp(w) -> Lp(w)) converge to parallel to T parallel to(Lp(dx) -> Lp(dx)) as the A(p) norm of w converges to 1, i.e. as [w](Ap) -> 1(+) for 1 < p < infinity.
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