Abstract
The authors give a natural definition of Morrey spaces for Radon measures which may be non–doubling but satisfy certain growth condition, and investigate the boundedness in these spaces of some classical operators in harmonic analysis and their vector–valued extension.
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The authors are supported by the 21st century COE program at Graduate School of Mathematical Sciences,
The University of Tokyo and the second author is supported by Fūjyukai foundation
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Sawano, Y., Tanaka, H. Morrey Spaces for Non–doubling Measures. Acta Math Sinica 21, 1535–1544 (2005). https://doi.org/10.1007/s10114-005-0660-z
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DOI: https://doi.org/10.1007/s10114-005-0660-z