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- W2011052865 abstract "Let L be a linear operator in L 2(ℝ n ) and generate an analytic semigroup {e −tL }t≥0 with kernels satisfying an upper bound of Poisson type, whose decay is measured by θ(L)∈(0,∞]. Let ω on (0,∞) be of upper type 1 and of critical lower type $widetilde{p}_{0}(omega)in(n/(n+theta(L)),1]$ and ρ(t)=t −1/ω −1(t −1) for t∈(0,∞). In this paper, the authors first introduce the VMO-type space VMOρ,L(ℝ n ) and the tent space $T^{infty}_{omega,mathrm{v}}({mathbb{R}}^{n+1}_{+})$ and characterize the space VMOρ,L(ℝ n ) via the space $T^{infty}_{omega,mathrm{v}}({{mathbb{R}}}^{n+1}_{+})$ . Let $widetilde{T}_{omega}({{mathbb{R}}}^{n+1}_{+})$ be the Banach completion of the tent space $T_{omega}({mathbb{R}}^{n+1}_{+})$ . The authors then prove that $widetilde{T}_{omega}({mathbb{R}}^{n+1}_{+})$ is the dual space of $T^{infty}_{omega,mathrm{v}}({mathbb{R}}^{n+1}_{+})$ . As an application of this, the authors finally show that the dual space of $mathrm{VMO}_{rho,L^{ast}}({mathbb{R}}^{n})$ is the space B ω,L(ℝ n ), where L * denotes the adjoint operator of L in L 2(ℝ n ) and B ω,L(ℝ n ) the Banach completion of the Orlicz-Hardy space H ω,L(ℝ n ). These results generalize the known recent results by particularly taking ω(t)=t for t∈(0,∞)." @default.
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- W2011052865 date "2010-02-12" @default.
- W2011052865 modified "2023-10-14" @default.
- W2011052865 title "Predual Spaces of Banach Completions of Orlicz-Hardy Spaces Associated with Operators" @default.
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- W2011052865 doi "https://doi.org/10.1007/s00041-010-9123-8" @default.
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