A note on vector-valued Hardy and Paley inequalities
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- by Oscar Blasco PDF
- Proc. Amer. Math. Soc. 115 (1992), 787-790 Request permission
Abstract:
The values of $p$ and $q$ for ${L_p}({L_q})$ that satisfy the extension of Paley and Hardy inequalities for vector-valued ${H^1}$ functions are characterized. In particular, it is shown that ${L_2}({L_1})$ is a Paley space that fails Hardy inequality.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 787-790
- MSC: Primary 42A45; Secondary 42B30, 46E40
- DOI: https://doi.org/10.1090/S0002-9939-1992-1101979-0
- MathSciNet review: 1101979