Wang, Hongbin; Liu, Zongguang The Herz-type Hardy spaces with variable exponent and their applications. (English) Zbl 1260.42012 Taiwanese J. Math. 16, No. 4, 1363-1389 (2012). Summary: Certain Herz-type Hardy spaces with variable exponent are introduced, and characterizations of these spaces are established in terms of atomic and molecular decompositions. Using these decompositions, the authors obtain the boundedness of some operators on the Herz-type Hardy spaces with variable exponent. Cited in 1 ReviewCited in 42 Documents MSC: 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B30 \(H^p\)-spaces 42B35 Function spaces arising in harmonic analysis Keywords:Herz-type Hardy space; variable exponent; atomic decomposition; molecular decomposition PDFBibTeX XMLCite \textit{H. Wang} and \textit{Z. Liu}, Taiwanese J. Math. 16, No. 4, 1363--1389 (2012; Zbl 1260.42012) Full Text: DOI Link