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On multipliers for Hardy-Sobolev spaces and holomorphic potentials

Published 31 May 2013 in math.CV | (1305.7350v1)

Abstract: 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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