We obtain new sufficient conditions for Fourier multipliers in the Hardy spaces \( {H_p}({{\mathbb{R}}^n}) \), 0 < p < 2: These conditions are presented in terms of the joint behavior of a function and its derivatives. The results of the paper generalize the corresponding Miyachi theorems.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1373–1380, October, 2012.
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Kolomoitsev, Y.S. Generalization of One Sufficient Condition for Fourier Multipliers. Ukr Math J 64, 1562–1571 (2013). https://doi.org/10.1007/s11253-013-0735-4
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DOI: https://doi.org/10.1007/s11253-013-0735-4