×

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:

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
Full Text: arXiv