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Noncommutative maximal strong $L_p$ estimates of Calder\'on-Zygmund operators

Functional Analysis 2022-12-27 v1

Abstract

In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calder\'on-Zygmund operators of non-convolution type acting on operator-valued LpL_p-functions for all 1<p<1<p<\infty, answering a question left open in the previous work \cite{HLX}.

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Cite

@article{arxiv.2212.13150,
  title  = {Noncommutative maximal strong $L_p$ estimates of Calder\'on-Zygmund operators},
  author = {Guixiang Hong and Xudong Lai and Samya Kumar Ray and Bang Xu},
  journal= {arXiv preprint arXiv:2212.13150},
  year   = {2022}
}

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12 pages