2003•Hokkaido Mathematical JournalOpen access

Calderón-Zygmund operators on weighted Hp(Rn)

Yasuo Komori

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Abstract

We consider the boundedness of Calder\'on-Zygmund operators from weighted $H^{p}(R^{n})$ to weighted $h^{p}(R^{n})$ (local Hardy space).We show Calder\'on's commutator is bounded from weighted $H^{p}$ to weighted $h^{p}$ .

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We consider the boundedness of Calder\'on-Zygmund operators from weighted $H^{p}(R^{n})$ to weighted $h^{p}(R^{n})$ (local Hardy space).We show Calder\'on's commutator is bounded from weighted $H^{p}$ to weighted $h^{p}$ .

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Available abstract

We consider the boundedness of Calder\'on-Zygmund operators from weighted $H^{p}(R^{n})$ to weighted $h^{p}(R^{n})$ (local Hardy space).We show Calder\'on's commutator is bounded from weighted $H^{p}$ to weighted $h^{p}$ .

Key concepts: Mathematics, Pseudodifferential operators, Pure mathematics

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