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The Sharp Maximal Function on Spaces of Generalized Homogeneous Type

✍ Scribed by Qinsheng Lai

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
383 KB
Volume
150
Category
Article
ISSN
0022-1236

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✦ Synopsis

The notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of the L p norms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Nirenberg type inequalities. As applications, we discuss the concepts of the class of BMO functions and Hardy spaces, and apply our BMO Hardy space theory to the study of singular integral operators.

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