Weak compactness and essential norms of integration operators

Let $g$ be an analytic function on the unit disc and consider the integration operator of the form $T_g f(z) = \int_0^z fg'\,d\zeta$. We show that on the spaces $H^1$ and $BMOA$ the operator $T_g$ is weakly compact if and only if it is compact. In the case of $BMOA$ this answers a question of Siskakis and Zhao. More generally, we estimate the essential and weak essential norms of $T_g$ on $H^p$ and $BMOA$

Guilotes, a new genus of Coelotinae spiders from Guangxi Zhuang Autonomous Region, China (Araneae, Agelenidae)

A new genus of the subfamily Coelotinae F.O. Pickard-Cambridge, 1893, Guilotes Z. Zhao & S. Li, gen. n. from China is described, as well as four new species: G. ludiensis Z. Zhao & S. Li, sp. n. (♂♀, type species), G. qingshitanensis Z. Zhao & S. Li, sp. n. (♂♀), G. xingpingensis Z. Zhao & S. Li, sp. n. (♂♀) and G. yandongensis Z. Zhao & S. Li, sp. n. (♀). The DNA barcodes of all species are documented for future use

Comment on ``Method to analyze electromechanical stability of dielectric elastomers" [Appl. Phys. Lett. 91, 061921 (2007)]

The model of Zhao and Suo can be readily generalized to predict the critical breakdown electric field $E_c$ value of elastomers with arbitrary elastic strain energy function. An explicit expression for $E_c$ is presented for elastomeric thin films under biaxial strain and comparisons are made with experimental data using a two term Ogden rubber elasticity model. Simplified results for uniaxial and for equi-biaxial stress provide further insight into the findings of Zhao and Suo.Comment: 2 page

Enhanced Volatile Organic Compounds emissions and organic aerosol mass increase the oligomer content of atmospheric aerosols

open25openKourtchev, Ivan; Giorio, Chiara; Manninen, Antti; Wilson, Eoin; Mahon, Brendan; Aalto, Juho; Kajos, Maija; Venables, Dean; Ruuskanen, Taina; Levula, Janne; Loponen, Matti; Connors, Sarah; Harris, Neil; Zhao, Defeng; Kiendler-Scharr, Astrid; Mentel, Thomas; Rudich, Yinon; Hallquist, Mattias; Doussin, Jean-Francois; Maenhaut, Willy; Bäck, Jaana; Petäjä, Tuukka; Wenger, John; Kulmala, Markku; Kalberer, MarkusKourtchev, Ivan; Giorio, Chiara; Manninen, Antti; Wilson, Eoin; Mahon, Brendan; Aalto, Juho; Kajos, Maija; Venables, Dean; Ruuskanen, Taina; Levula, Janne; Loponen, Matti; Connors, Sarah; Harris, Neil; Zhao, Defeng; Kiendler-Scharr, Astrid; Mentel, Thomas; Rudich, Yinon; Hallquist, Mattias; Doussin, Jean-Francois; Maenhaut, Willy; Bäck, Jaana; Petäjä, Tuukka; Wenger, John; Kulmala, Markku; Kalberer, Marku

Testing creativity of dance students in the People's Republic of China

In the past decade there has been increasing concern over the losses that may accompany the benefits of dance training for young people (Abra, 1987/ 88; Brady, J., 1982; Gordon, S., 1983; Innes, 1988; Kirkland, G. with Lawrence, G., 1986; Schnitt, 1990; Stinson, Blumenfeld—Jones and Van Dyke, 1990). An investigation by Zhao Guo Wei (1989), educational psychologist at the Beijing Dance lnstitute, lends further support to these concerns

A Note on the Maximum Genus of Graphs with Diameter 4

Let G be a simple graph with diameter four, if G does not contain complete subgraph K3 of order three

Bound states of anti-nucleons in finite nuclei

We study the bound states of anti-nucleons emerging from the lower continuum in finite nuclei within the relativistic Hartree approach including the contributions of the Dirac sea to the source terms of the meson fields. The Dirac equation is reduced to two Schr\"{o}dinger-equivalent equations for the nucleon and the anti-nucleon respectively. These two equations are solved simultaneously in an iteration procedure. Numerical results show that the bound levels of anti-nucleons vary drastically when the vacuum contributions are taken into account.Comment: 8 pages, no figures. Proceedings of International Conference on Nonequilibrium and Nonlinear Dynamics in Nuclear and Other Finite Systems, Beijing, China 2001; AIP conference proceedings 597, edited by Zhuxia Li, Ke Wu, Xizhen Wu, Enguang Zhao, and F. Sakata (Melville, New York, 2001) page 112-11