Displaying similar documents to “On molecules and fractional integrals on spaces of homogeneous type with finite measure”

The local versions of H p ( n ) spaces at the origin

Shan Lu, Da Yang (1995)

Studia Mathematica

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Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces H K ̇ q α , p ( n ) which are the local versions of H p ( n ) spaces at the origin. Characterizations of these spaces in terms of atomic and molecular decompositions are established, together with their φ-transform characterizations in M. Frazier and B. Jawerth’s sense. We also prove an interpolation theorem for operators on H K ̇ q α , p ( n ) and discuss the H K ̇ q α , p ( n ) -boundedness of Calderón-Zygmund operators. Similar results can also be obtained...