Real-variable characterizations of local Orlicz-slice Hardy spaces with application to bilinear decompositions

New real-variable characterizations of Hardy spaces associated with twisted convolution

Hardy spaces , Real interpolation and Applications to bilinear operators

This paper can be considered as the sequel of [6], where the authors have proposed an abstract construction of Hardy spaces H. They shew an interpolation result for these Hardy spaces with the Lebesgue spaces. Here we describe a more precise result using the real interpolation theory and we clarify the use of Hardy spaces. Then with the help of the bilinear interpolation theory, we then give ap...

Orlicz-Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates

Let X be a metric space with doubling measure, L be a nonnegative selfadjoint operator in L2(X ) satisfying the Davies-Gaffney estimate, ω be a concave function on (0,∞) of strictly lower type pω ∈ (0, 1] and ρ(t) = t/ω(t) for all t ∈ (0,∞). The authors introduce the Orlicz-Hardy space Hω,L(X ) via the Lusin area function associated to the heat semigroup, and the BMO-type space BMOρ,L(X ). The ...

New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators

Let L be the divergence form elliptic operator with complex bounded mea-surable coefficients, ω the positive concave function on (0,∞) of strictly critical lowertype pω ∈ (0, 1] and ρ(t) = t/ω(t) for t ∈ (0,∞). In this paper, the authorsstudy the Orlicz-Hardy spaceHω,L(R) and its dual spaceBMOρ,L∗(R), where L∗denotes the adjoint operator of L in L(R). Several characteriz...

Bilinear Operators on Herz-type Hardy Spaces

The authors prove that bilinear operators given by finite sums of products of Calderón-Zygmund operators on Rn are bounded from HK̇11 q1 × HK̇ α2,p2 q2 into HK̇ q if and only if they have vanishing moments up to a certain order dictated by the target space. Here HK̇ q are homogeneous Herz-type Hardy spaces with 1/p = 1/p1 +1/p2, 0 < pi ≤ ∞, 1/q = 1/q1 +1/q2, 1 < q1, q2 < ∞, 1 ≤ q < ∞, α = α1 + α2 a...