NOTES ON BOUNDEDNESS OF SPECTRAL MULTIPLIERS ON HARDY SPACES ASSOCIATED TO OPERATORS

作者：Bui The Anh^*

来源：Nagoya Mathematical Journal, 2011, 203: 109-122.

DOI：10.1215/00277630-1331881

Let L be a nonnegative self-adjoint operator on L-2(X), where X is a space of homogeneous type. Assume that L generates an analytic semigroup e(-tL) whose kernel satisfies the standard Gaussian upper bounds. We prove that the spectral multiplier F(L) is bounded on H-L(P)(X) for 0 < p <= 1, the Hardy space associated to operator L, when F is a suitable function.

• 出版日期2011-9