Estimates for Littlewood-Paley Functions and Extrapolation

Springer Science and Business Media LLC - Tập 62 - Trang 429-440 - 2008
Shuichi Sato1
1Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa, Japan

Tóm tắt

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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Springer Science and Business Media LLC

Tập 62

429-440

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