Chang, Der-Chen The dual of Hardy spaces on a bounded domain in \(\mathbb{R}^ n\). (English) Zbl 0803.42014 Forum Math. 6, No. 1, 65-81 (1994). In this interesting paper Hardy spaces on a bounded Lipschitz domain \(\Omega\subset\mathbb{R}^ n\) are studied. Whereas quite a well-developed theory of Hardy spaces on \(\mathbb{R}^ n\) is available, the development of its local modification has been considerably slower. In the paper under review, two different definitions of a local Hardy space \(h^ p(\Omega)\), \(0< p\leq 1\), are treated, and the dual spaces to both are found. These dual spaces are two different adaptations to a domain of the BMO space in \(\mathbb{R}^ n\). Reviewer: L.Pick (Praha) Cited in 24 Documents MSC: 42B30 \(H^p\)-spaces Keywords:dual space; local Hardy space; BMO PDF BibTeX XML Cite \textit{D.-C. Chang}, Forum Math. 6, No. 1, 65--81 (1994; Zbl 0803.42014) Full Text: DOI EuDML OpenURL