@article{Kolomoitsev_2007, title={On moduli of smoothness and Fourier multipliers in $L_p, 0 < <i>p</i> < 1$}, volume={59}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3383}, abstractNote={We obtain the theorem on the relationship between a modulus of smoothness and the best approximation in <i>L <sub>p </sub></i> , 0 < <i>p</i> < 1, and theorems on the extension of functions with the preservation of the modulus of smoothness in <i>L <sub>p </sub></i> , 0 < <i>p</i> < 1. <br&gt; In addition, we present a complete description of multipliers of periodic functions in the spaces <i>L <sub>p </sub></i> , 0 < <i>p</i> &lt; 1. <br><br&gt;}, number={9}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kolomoitsev, Yu. S.}, year={2007}, month={Sep.}, pages={1221–1238} }