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Sharp Estimates for the Imaginary Power Operators
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DOI：10.1307/mmj/20236384.png)
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Abstract
En 中文
Let (X,d,mu) be a metric space with a metric d and a doubling measure mu. Assume that Lis a nonnegative self-adjoint operator on L2(X) satisfying the Davies-Gaffney estimates. In this paper, we prove the sharp estimates for the imaginary power operator Li alpha, alpha is an element of & Ropf; on the Hardy space associated with the operator L. In addition, if L satisfies an additional Lp0-L2 estimate for p0 is an element of [1, 2), we prove the sharp weak type (p0, p0) estimate for Li alpha.
Keywords:
HARDY-SPACES
BMO