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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Singular integrals and approximate identities on spaces of homogeneous type


Author: Hugo Aimar
Journal: Trans. Amer. Math. Soc. 292 (1985), 135-153
MSC: Primary 42B20; Secondary 42B25
DOI: https://doi.org/10.1090/S0002-9947-1985-0805957-9
MathSciNet review: 805957
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Abstract: In this paper we give conditions for the $ {L^2}$-boundedness of singular integrals and the weak type $ (1,1)$ of approximate identities on spaces of homogeneous type. Our main tools are Cotlar's lemma and an extension of a theorem of Zó.


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DOI: https://doi.org/10.1090/S0002-9947-1985-0805957-9
Keywords: Singular integrals, maximal functions, spaces of homogeneous type
Article copyright: © Copyright 1985 American Mathematical Society

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