Abstract
In this paper, we study some new kinds of Hausdorff operators on n-dimensional product spaces. We obtain their power weights from L p to L q boundedness and characterize the necessary and sufficient conditions for the operators being bounded on power weight L p spaces. Moreover, we get the sharp constants for the case p = q.
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Wu, X., Chen, J. Best constants for Hausdorff operators on n-dimensional product spaces. Sci. China Math. 57, 569–578 (2014). https://doi.org/10.1007/s11425-013-4725-7
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DOI: https://doi.org/10.1007/s11425-013-4725-7