Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls

We characterize the Carleson measures for the Drury-Arveson Hardy space and other Hilbert spaces of analytic functions of several complex variables. This provides sharp estimates for Drury's generalization of Von Neumann's inequality. The characterization is in terms of a geometric condition, the "split tree condition", which reflects the nonisotropic geometry underlying the Drury-Arveson Hardy space

The characterization of the Carleson measures for analytic Besov spaces: a simple proof

We give a simple proof of the characterization of the Carleson measures for the weighted analytic Besov spaces. Such characterization provides some information on the radial variation of an analytic Besov function.Comment: 12 page

What Lies Beneath: How Paranoid Cognition Explains the Relations Between Transgender Employees\u27 Perceptions of Discrimination at Work and their Job Attitudes and Wellbeing

With the recent public gender transitions of celebrities like Caitlin Jenner, greater visibility of transgender characters on television (e.g., Transparent), and controversial laws enacted in some U.S. states and cities banning transgender employees from accessing bathrooms that align with their gender identities, issues of gender expression have been thrust into the national spotlight. In order to promote greater awareness and acceptance of transgender people, greater knowledge of their life experiences is needed. Adding to a small, but growing, body of research on the work experiences of transgender individuals, the goal of the present study is to examine the cognitive processes that shape these individuals\u27 experiences in the workplace. Drawing on existing theory and research on paranoia, we examine the role of paranoid cognition, defined by hypervigilance, rumination, and sinister attributional tendencies, in explaining the relations between transgender employees\u27 perceptions of workplace discrimination and their job attitudes and psychological wellbeing. Our findings suggest that perceptions of transgender discrimination in the workplace are positively related to paranoid cognition at work; paranoid cognition is positively related to transgender employees\u27 turnover intentions and emotional exhaustion and negatively related to their job satisfaction; and paranoid cognition at work mediates the relations between perceptions of discrimination and each of these outcomes. We conclude by discussing the implications of our results, as well as avenues for future research on the work experiences of transgender employees

Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces

We investigate connections between potential theories on a Ahlfors-regular metric space X, on a graph G associated with X, and on the tree T obtained by removing the "horizontal edges" in G. Applications to the calculation of set capacity are given.Comment: 45 pages; presentation improved based on referee comment

Development of a Polysilicon Process Based on Chemical Vapor Deposition of Dichlorosilane in an Advanced Siemen's Reactor

Dichlorosilane (DCS) was used as the feedstock for an advanced decomposition reactor for silicon production. The advanced reactor had a cool bell jar wall temperature, 300 C, when compared to Siemen's reactors previously used for DCS decomposition. Previous reactors had bell jar wall temperatures of approximately 750 C. The cooler wall temperature allows higher DCS flow rates and concentrations. A silicon deposition rate of 2.28 gm/hr-cm was achieved with power consumption of 59 kWh/kg. Interpretation of data suggests that a 2.8 gm/hr-cm deposition rate is possible. Screening of lower cost materials of construction was done as a separate program segment. Stainless Steel (304 and 316), Hastalloy B, Monel 400 and 1010-Carbon Steel were placed individually in an experimental scale reactor. Silicon was deposited from trichlorosilane feedstock. The resultant silicon was analyzed for electrically active and metallic impurities as well as carbon. No material contributed significant amounts of electrically active or metallic impurities, but all contributed carbon

Many-Body Corrections to Charged-Current Neutrino Absorption Rates in Nuclear Matter

Including nucleon--nucleon correlations due to both Fermi statistics and nuclear forces, we have developed a general formalism for calculating the charged--current neutrino--nucleon absorption rates in nuclear matter. We find that at one half nuclear density many--body effects alone suppress the rates by a factor of two and that the suppression factors increase to $\sim$5 at $4\times10^{14}$ g cm$^{-3}$. The associated increase in the neutrino--matter mean--free--paths parallels that found for neutral--current interactions and opens up interesting possibilities in the context of the delayed supernova mechanism and protoneutron star cooling.Comment: 11 pages, APS REVTeX format, 1 PostScript figure, uuencoded compressed, and tarred, submitted to Physical Review Letter

On some singularities of the correlation functions that determine neutrino opacities

Certain perturbation graphs in the calculation of the effects of the medium on neutrino scattering in supernova matter have a nonintegrable singularity in a physical region. A number of papers have addressed the apparent pathology through an ansatz that invokes higher order (rescattering) effects. Taking the Gamow-Teller terms as an example, we display an expression for the spin-spin correlation function that determines the cross-sections. It is clear from the form that there are no pathologies in the order by order perturbation expansion. Explicit formulae are given for a simple case, leading to an answer that is very different from one given by other authors.Comment: 8 page

Voting Trusts and Antitrust: Rethinking the Role of Shareholder Rights and Private Litigation in Public Regulation, 1880s to 1930s

Scholars have long recognized that the states’ authority to charter corporations bolstered their antitrust powers in ways that were not available to the federal government. But they have also argued that the growth of large-scale enterprises operating in national and even international markets forced states to stop prosecuting monopolistic combinations out of fear of doing serious damage to their domestic economies. Our paper has revised this conventional view by focusing attention on the lawsuits that minority shareholders brought against their own companies in state courts of law and equity, especially suits that challenged the anticompetitive use of voting trusts. Historically judges had been reluctant to intervene in corporations’ internal affairs and had displayed a particular wariness of shareholders’ private actions. By the end of the nineteenth century, however, they had begun to revise their views and to see shareholders’ private actions as useful checks on economic concentration. Although the balance between judges’ suspicion of and support for shareholders’ activism shifted back and forth over time, the long-run effect was to make devices like voting trusts unsuitable for the purposes of economic concentration