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Equivalent norms for the Morrey spaces with non-doubling measures. (English) Zbl 1135.42323
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.
MSC:
42B35Function spaces arising in harmonic analysis
46E35Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
42B25Maximal functions, Littlewood-Paley theory