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Sharp weighted estimates for strong-sparse operators

Classical Analysis and ODEs 2021-12-07 v1

Abstract

We prove the sharp weighted-L2L^2 bounds for the strong-sparse operators introduced in \cite{KaragulyanM}. The main contribution of the paper is the construction of a weight that is a lacunary mixture of dual power weights. This weights helps to prove the sharpness of the trivial upper bound of the operator norm.

Keywords

Cite

@article{arxiv.2112.02358,
  title  = {Sharp weighted estimates for strong-sparse operators},
  author = {Gevorg Mnatsakanyan},
  journal= {arXiv preprint arXiv:2112.02358},
  year   = {2021}
}

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11 pages