Boundedness of Calderón-Zygmund operators on spaces of homogeneous type (Q2752577)

From MaRDI portal





scientific article; zbMATH DE number 1661264
Language Label Description Also known as
English
Boundedness of Calderón-Zygmund operators on spaces of homogeneous type
scientific article; zbMATH DE number 1661264

    Statements

    0 references
    5 January 2003
    0 references
    Calderón-Zygmund operator
    0 references
    Hardy space
    0 references
    atom
    0 references
    molecule
    0 references
    space of homogeneous type
    0 references
    Boundedness of Calderón-Zygmund operators on spaces of homogeneous type (English)
    0 references
    By use of the atomic characterization and the molecular characterization of Hardy spaces on spaces of homogeneous type, the author proves that the Calderón-Zygmund operator \(T\) is bounded from Hardy spaces to Lebesgue spaces and \(T\) is bounded on Hardy spaces if \(T^\ast(1)=0\).
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references