2017
Том 69
№ 6

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Generalization of One Sufficient Condition for Fourier Multipliers

Kolomoitsev Yu. S.

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Abstract

We obtain new sufficient conditions for Fourier multipliers in the Hardy spaces $H_p(\mathbb{R}^n),\; 0 < p < 2$. These conditions are given in terms of the simultaneous behavior of a function and its derivatives. The results of this paper generalize the corresponding theorems of A. Miachi.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 10, pp 1562-1571.

Citation Example: Kolomoitsev Yu. S. Generalization of One Sufficient Condition for Fourier Multipliers // Ukr. Mat. Zh. - 2012. - 64, № 10. - pp. 1373-1380.

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