TY - JOUR AU - T. M. Osipchuk AU - M. V. Tkachuk PY - 2011/02/25 Y2 - 2024/03/28 TI - Analytic criterion for linear convexity of Hartogs domains with smooth boundary in $H^2$ JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 63 IS - 2 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2713 AB - We establish a criterion of the local linear convexity of sets in the two-dimensional quaternion space $H^2$, that are similar to the bounded Hartogs domains with smooth boundaries in the two-dimensional complex space$C^2$. ER -