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Hardy-Littlewood inequalities for multipolynomials (1801.08786v1)
Published 26 Jan 2018 in math.FA
Abstract: The notion of multipolynomials was recently introduced and explored by T. Velanga in [10] as an attempt to encompass the theories of polynomials and multi- linear operators. In the present paper we push this subject further, by proving Hardy- Littlewood inequalities for multipolynomials and, en passant, a variant of the Kahane- Salem-Zygmund inequality in this framework.
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