Extremal discs and the holomorphic extension from convex hypersurfaces

Let D be a convex domain with smooth boundary in complex space and let f be a continuous function on the boundary of D. Suppose that f holomorphically extends to the extremal discs tangent to a convex subdomain of D. We prove that f holomorphically extends to D. The result partially answers a conjecture by Globevnik and Stout of 1991

Global regularity in ultradifferentiable classes

Se estudia la w-regularidad de soluciones de ciertos operadores que son globalmente hipoelípticos en el toro N-dimensional. Se aplican estos resultados para probar la w-regularidad global de ciertas clases de sublaplacianos. En este sentido, se extiende trabajo previo en el contexto de la clases analíticas y de Gevrey. Se dan varios ejemplos de w-hipoelipticidad local y global.The research of the authors was partially supported by MEC and FEDER Project MTM2010-15200.Albanese, AA.; Jornet Casanova, D. (2014). Global regularity in ultradifferentiable classes. Annali di Matematica Pura ed Applicata. 193(2):369-387. https://doi.org/10.1007/s10231-012-0279-5S3693871932Albanese A.A., Jornet D., Oliaro A.: Quasianalytic wave front sets for solutions of linear partial differential operators. Integr. Equ. Oper. 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Organizational practices across cultures: An exploration in six cultural contexts

This study examined organizational practices in a sample of 1239 employees from various organizations in Argentina, Brazil, Malaysia, New Zealand, Turkey, and the United States. Twenty-four items measuring employee-orientation, formalization, and innovation practices showed a clear factorial structure across all samples, along with good reliabilities. Significant organizational position differences were found for employee-orientation and innovation practices. Sector differences were found for formalization and innovation practices. Cultural differences were found for employee-orientation and innovation practices, which can be explained using macroeconomic indicators,tightness–looseness, and individualism. Our study demonstrates the importance of individual, organizational, economic, and cultural level for understanding perceptions of organizational practices across a wider range of societies

Extrovert Followership and its Impact on Agreeable Leadership

This study recons the need for research on effective role of followership in mentoring a leader to set pattern or direction for leader. A reinvented concept of leader being a team man needs active participation from followers in changing business dynamics. The sample consisting of middle level management having leader (heads/ supervisors from education sector) above it has been taken and results are achieved using inferential statistics, so to verify the need of followers for result oriented leadership. The results depict that certain personality traits backed by “Big Five Model” are found to be important for followers to have an impact on leader’s decision making. As this study analyses the mutual characteristic of leader follower relation statistically while putting follower on the fore front, the originality of study is ensured. As for limitation, this study may show different results as per variant geographical and economical regions in which followers’ expectations may vary accordingly