Abstract
We consider singular integral operators with rough kernels on the product space of homogeneous groups. We prove L p boundedness of them for \({p \in (1,\infty)}\) under a sharp integrability condition of the kernels.
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The first author is supported by NSFC (No.10931001).
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Ding, Y., Sato, S. Singular Integrals on Product Homogeneous Groups. Integr. Equ. Oper. Theory 76, 55–79 (2013). https://doi.org/10.1007/s00020-013-2049-1
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DOI: https://doi.org/10.1007/s00020-013-2049-1