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- W1670663180 abstract "Let L be a non-negative, self-adjoint operator on L^2(Omega), where (Omega, d mu) is a space of homogeneous type. Assume that the semigroup {T_t}_{t>0} generated by -L satisfies Gaussian bounds, or more generally Davies-Gaffney estimates. We say that f belongs to the Hardy space H^1_L if the square function S_h f(x)=(iint_{Gamma (x)} |t^2 L e^{-t^2 L} f(y)|^2 frac{dmu(y)}{mu (B_d(x,t))} frac{dt}{t})^{1/2} belongs to L^1(Omega, dmu), where Gamma(x)={(y,t) in Omega times (0,infty): d(x,y)<t}. We prove spectral multiplier theorems for L on H^1_L." @default.
- W1670663180 created "2016-06-24" @default.
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- W1670663180 date "2009-03-17" @default.
- W1670663180 modified "2023-10-01" @default.
- W1670663180 title "Remarks on spectral multiplier theorems on Hardy spaces associated with semigroups of operators" @default.
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