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arxiv: 1305.7350 · v1 · pith:O543UHPXnew · submitted 2013-05-31 · 🧮 math.CV

On multipliers for Hardy-Sobolev spaces and holomorphic potentials

classification 🧮 math.CV
keywords multipliersspaceshardy-sobolevholomorphicpointwiseactionapplicationsbergman
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We study the action of some generalized integral operators of Bergman type on pointwise multipliers of holomorphic Triebel-Lizorkin spaces. We construct nontrivial examples of pointwise multipliers in Hardy-Sobolev spaces and give applications of all these results.

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