Singular measures and convolution operators

We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated to parallelotopes do not decrease with the dimension.Comment: 8 page

'Between a rock and a hard place':towards a theorisation of the role of gender in junior management

This paper seeks to theorise the role that gender plays in the careers of junior female managers. We do this by drawing upon two separate empirical studies, firstly a largescale study based on interviews with female managers in the West Midlands (UK) is used to explore the growth of female participation in junior managerial roles with reference to the notion of managerial careers as seduction. We explore the routes the women have taken into junior management careers and the barriers that exist to progression toward more senior roles. Secondly, a small-scale ethnographic study of a large service-based organization, also based in the West Midlands, is documented in an attempt to theorise the organizational role of female junior managers. While the dominance of masculine values and practices in organisations is explored, we also argue that growing female participation at junior managerial levels can only partly be explained by female managers adopting, or appearing to adopt, masculine behaviours. We seek to contribute to a fuller explanation by drawing attention to the way in which senior managers in the case study sought to employ female junior managers particularly for their perceived feminine skills. Significantly, however the ethnography reveals the ambiguously gendered construction of female junior managers roles through an exploration of the enactment of both masculine and feminine practices during the ‘doing’ of management

A projective invariant generalization of the de Casteljau algorithm

A projective invariant generalization of the de Casteljau algorithm is described by using the cross ratio and an auxiliary line. We describe the implicit form of the section conics obtained by the algorithm proposed in this paper. Finally, we show how to construct specific conic sections using this approach. © 2010 Elsevier Ltd. All rights reserved.Benítez López, J. (2011). A projective invariant generalization of the de Casteljau algorithm. Computer-Aided Design. 43(1):3-11. doi:10.1016/j.cad.2010.09.005S31143