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The Cauchy Integral Operator on the Predual of a Morrey Space

DOI: 10.1155/2010/729824

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Abstract:

We show that the Cauchy integral operator is bounded from Hp,φ(R1) (the predual of a Morrey space) to hp,φ(R1) (the local version of Hp,φ(R1)). To prove our theorem we will introduce generalized atoms and consider a variant of “Tb theorem.”

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