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Morrey Spaces on Spaces of Homogeneous Type and Estimates for □b and the Cauchy-Szegö Projection

✍ Scribed by Hitoshi Arai; Takahiro Mizuhara

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
612 KB
Volume
185
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, we define an appropriate version of Morrey spaces for spaces of homogeneous type. As our main result, we give a sufficient condition for an operator to be bounded on the version of Morrey spaces (cf. Theorem 3.1 and Corollary 3.5). Moreover, using thin result, we prove Morrey space estimates for various operators arising in harmonic analysis and complex analysis of several variables.

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