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• W2963705537 abstract "We prove a Hardy–Stein-type identity for the semigroups of symmetric, pure-jump Lévy processes. Combined with the Burkholder–Gundy inequalities, it gives the L p two-way boundedness, for 1 < p < ∞ , of the corresponding Littlewood–Paley square function. The square function yields a direct proof of the L p -boundedness of Fourier multipliers obtained by transforms of martingales of Lévy processes." @default.
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• W2963705537 date "2016-07-07" @default.
• W2963705537 modified "2023-10-13" @default.
• W2963705537 title "Hardy–Stein identities and square functions for semigroups" @default.
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• W2963705537 doi "https://doi.org/10.1112/jlms/jdw042" @default.
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