| Boundedness of the Intrinsic Square Function on Grand Variable Herz Spaces |
| Received:November 22, 2021 Revised:January 12, 2022 |
| Key Words:
the intrinsic square function commutator variable exponent grand space Herz space
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| Fund Project:Supported by the Natural Science Foundation of Anhui Province (Grant No.1908085MA19) and the Natural Science Foundation of Anhui Higher Education Institutions (Grant No.KJ2021A1050). |
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| Abstract: |
| We prove that the intrinsic square function and its commutator are bounded on the Herz space $\dot{K}_{q(\cdot)}^{\alpha(\cdot), p),\theta}({\Bbb{R}}^n)$, where the exponents $\alpha$ and $q$ are variable. The results are still new even when $\alpha(\cdot)\equiv \alpha$ is constant. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.06.006 |
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