| Characterizations of Some Operators on the Vanishing Weak Morrey Type Spaces |
| Received:April 23, 2017 Revised:September 22, 2017 |
| Key Words:
weight Hardy operator maximal operator potential operator singular integral operator weak Morrey space
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| Fund Project:Supported by the Natural Science Foundation of Ningxia (Grant No.NZ15055); Institution of Higher Education Scientific Research Project in Ningxia (Grant No.NGY2017011) and the National Natural Science Foundation of China (Grant Nos.11261041; 11361044). |
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| Abstract: |
| In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces $VW\mathcal{L}^{p, \varphi}_{\Pi}(\Omega)$ with bounded set $\Omega$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.02.008 |
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