Transference of maximal multipliers on Hardy spaces
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- by Da Shan Fan and Zhi Jian Wu PDF
- Proc. Amer. Math. Soc. 123 (1995), 3169-3174 Request permission
Abstract:
Based on the atomic decomposition of the Hardy space, we give a simple proof for a theorem of Liu and Lu (Studia Math. 105 (1993), 121-134), which discusses the relation between the maximal operators on ${\mathbb {R}^n}$ and on ${\mathbb {T}^n}$. More significantly, our proof shows that condition (1) in Liu and Lu’s Theorem 1 is superfluous.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3169-3174
- MSC: Primary 42B30; Secondary 46E10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273491-2
- MathSciNet review: 1273491