Generalization of One Sufficient Condition for Fourier Multipliers

• Datum: 2012
• Hauptverfasser: Kolomoitsev, Yu. S., Коломойцев, Ю. С.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2665
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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. Mi...