Singular integrals and approximate identities on spaces of homogeneous type

@inproceedings{Aimar1985SingularIA,
  title={Singular integrals and approximate identities on spaces of homogeneous type},
  author={Hugo Aimar},
  year={1985}
}
In this paper we give conditions for the L2-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 Z6. Introduction. The behavior of singular integrals and approximate identities as operators on the space of integrable functions, i.e. the weak type (1,1), can be investigated by using the Calderon-Zygmund method. This method relies, essentially, on the possibility of… CONTINUE READING

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