Littlewood-Paley functions without Fourier transform estimates

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Littlewood-Paley functions without Fourier transform estimates

Sato, Shuichi

Bulletin des sciences mathématiques, July 2024, 2024-07-00, Volume: 193

Journal Article

We prove Lp estimates for a class of Littlewood-Paley functions on homogeneous groups including the Heisenberg groups under a sharp integrability condition on the kernels. The results will be shown by methods without use of Fourier transform estimates.

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