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Let p∈ (0,1], q ∈(0,∞] and A be a general expansive matrix on ℝn. Let H A p , q ( ℝ n ) be the anisotropic Hardy-Lorentz spaces associated with A defined via the non-tangential grand maximal function. In this article, the authors characterize H A p , q ( ℝ n ) in terms of the Lusin-area function, the Littlewood-Paley g-function or the Littlewood-Paley gλ*-function...
In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.
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