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Estimates for Littlewood-Paley Functions and Extrapolation

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Abstract.

We prove certain L p-estimates for Littlewood-Paley functions arising from rough kernels. The estimates are useful for extrapolation to prove L p-boundedness of the Littlewood-Paley functions under a sharp kernel condition.

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  1. Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa, 920-1192, Japan

    Shuichi Sato

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  1. Shuichi Sato
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Correspondence to Shuichi Sato.

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Sato, S. Estimates for Littlewood-Paley Functions and Extrapolation. Integr. equ. oper. theory 62, 429–440 (2008). https://doi.org/10.1007/s00020-008-1631-4

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  • DOI: https://doi.org/10.1007/s00020-008-1631-4

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