Sawano, Yoshihiro; Tanaka, Hitoshi Equivalent norms for the Morrey spaces with non-doubling measures. (English) Zbl 1135.42323 Far East J. Math. Sci. (FJMS) 22, No. 3, 387-404 (2006). Summary: Under some growth condition, we investigate the connection between RBMO and the Morrey spaces. We do not assume the doubling condition which has been a key property of harmonic analysis. We also obtain another type of equivalent norms. Cited in 4 Documents MSC: 42B35 Function spaces arising in harmonic analysis 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 42B25 Maximal functions, Littlewood-Paley theory PDFBibTeX XMLCite \textit{Y. Sawano} and \textit{H. Tanaka}, Far East J. Math. Sci. (FJMS) 22, No. 3, 387--404 (2006; Zbl 1135.42323) Full Text: arXiv