The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group

In the setting of Heisenberg group, we characterize those functions Φ, for which the fractional Hausdorff operators TΦ,β and Hausdorff operators TΦ, T˜Φ are bounded on Lp spaces with power weights, BMO space, and Hardy spaces, respectively. Meanwhile, the corresponding operator norms of TΦ and T˜Φ a...

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Bibliographic Details
Main Authors: Guohua Zhang, Qianqian Li, Qingyan Wu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5247420