| The Boundedness of Hardy-Littlewood Maximal Operator Associated with ψ-rectangles |
| Received:August 14, 2024 Revised:August 18, 2024 |
| Key Words:
modified Hardy-Littlewood maximal operator, Lorentz space, variable exponent
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| Fund Project:National Natural Science Foundation of China (#12201098) and the Fundamental Research Funds for the Central Universities (# 3132024199) |
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| Abstract: |
| In this paper, the authors establish the boundedness of Hardy-Littlewood maximal
operators Mψassociated with ψ-rectangles on weighted Lebesgue spaces and on two kinds of
Lorentz spaces with variable exponent, as well as its corresponding Fefferman-Stein inequalities.
All of these generalize the corresponding results in classical case. |
| Citation: |
| DOI: |
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