End-point estimates and multi-parameter paraproducts on higher dimensional tori

DOI10.4171/RMI/610zbMATH Open1201.42006arXiv0806.0197MaRDI QIDQ986619

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Publication date: 11 August 2010

Published in: (Search for Journal in Brave)

Abstract: Analogues of multi-paramter multiplier operators on R^d are defined on the torus T^d. It is shown that these operators satisfy the classical Coifman-Meyer theorem. In addition, L log L and L (log L)^n end-point estimates are proved.

Full work available at URL: https://arxiv.org/abs/0806.0197

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