Herz-type Hardy spaces associated with operators (Q1989835)
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scientific article; zbMATH DE number 6967290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Herz-type Hardy spaces associated with operators |
scientific article; zbMATH DE number 6967290 |
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Herz-type Hardy spaces associated with operators (English)
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29 October 2018
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Summary: Suppose \(L\) is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator \(L\). Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator \(L\). As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.
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nonnegative self-adjoint differential operator
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atomic and molecular decompositions
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