Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type
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DOI: 10.1002/mana.201900320
Abstract: Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher… read more here.
Keywords: maximal functions; hardy spaces; homogeneous type; local hardy ... See more keywords
Discrete Littlewood-Paley-Stein Characterization and L2 Atomic Decomposition of Local Hardy Spaces
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DOI: 10.1007/s10114-019-8532-0
Abstract: Usually, the condition that T is bounded on L2(ℝn) is assumed to prove the boundedness of an operator T on a Hardy space. With this assumption, one only needs to prove the uniformly boundness of… read more here.
Keywords: littlewood paley; discrete littlewood; hardy spaces; local hardy ... See more keywords
Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces
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DOI: 10.1016/j.jfa.2020.108796
Abstract: Let $p\in(0,1)$, $\alpha:=1/p-1$ and, for any $\tau\in [0,\infty)$, $\Phi_{p}(\tau):=\tau/(1+\tau^{1-p})$. Let $H^p(\mathbb R^n)$, $h^p(\mathbb R^n)$ and $\Lambda_{n\alpha}(\mathbb{R}^n)$ be, respectively, the Hardy space, the local Hardy space and the inhomogeneous Lipschitz space on $\mathbb{R}^n$. In this article,… read more here.
Keywords: hardy space; phi mathbb; mathbb; local hardy ... See more keywords