Remarks on spectral multiplier theorems on Hardy spaces associated with semigroups of operators

Jacek Dziubański, Marcin Preisner

Let L be a non-negative, self-adjoint operator on L^2(Ω), where (Ω, d μ) is a space of homogeneous type. Assume that the semigroup {T_t}_{t>0} generated by -L satisfies Gaussian bo…