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Weighted weak type (1,1) estimates for singular integrals with non-isotropic homogeneity

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Abstract

We prove sharp weighted weak type (1,1) estimates for rough singular integral operators on homogeneous groups. Similar results are shown for singular integrals on \(\mathbb{R}^{2}\) with the generalized homogeneity.

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Correspondence to Shuichi Sato.

Additional information

This research was partially supported by Grant-in-Aid for Scientific Research (C) No. 25400130, Japan Society for the Promotion of Science.

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Sato, S. Weighted weak type (1,1) estimates for singular integrals with non-isotropic homogeneity. Ark Mat 54, 157–180 (2016). https://doi.org/10.1007/s11512-015-0215-1

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  • DOI: https://doi.org/10.1007/s11512-015-0215-1

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