Singular integrals on generalized Lipschitz and Hardy spaces
Roberto Macías, Carlos Segovia (1979)
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Roberto Macías, Carlos Segovia (1979)
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Margaret Murray (1987)
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J. Michael Wilson (2003)
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Alf Jonsson (1980)
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David Adams, Michael Frazier (1988)
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Akihito Uchiyama (1985)
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Robert Latter (1978)
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Shan Lu, Da Yang (1995)
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Let 0 < p ≤ 1 < q < ∞ and α = n(1/p - 1/q). We introduce some new Hardy spaces which are the local versions of 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 and discuss the -boundedness of Calderón-Zygmund operators. Similar results can also be obtained...
Jonathan Cohen, John Gosselin (1982)
Studia Mathematica
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