The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities φ : R \ Σ → H2C , where Σ is a subset of the axis of symmetry, and H2C is the complex hyperbolic plane. Motivated by this problem, we prove the existence and uniqueness of harmonic maps with prescribed singularities φ : R \ Σ → H, where Σ is a submanifold of R of co...

the aim of this paper is to introduce and study a new concept of strong double δ ( a ) σ -convergence sequences with respect to an orlicz function, and some properties of the resulting sequencespaces were also examined. in addition, we define the δ ( a ) σ -statistical convergence and establish someconnections between the spaces of strong double δ ( a ) σ -convergence sequences and the space of...

A tight correlation of black hole mass (MBH) and central velocity dispersion (σ) has been found recently for both active and quiescent galaxies. By applying this correlation, we develop a simple method to derive the inclination angles for a sample of 11 Seyfert 1 galaxies that have both measured central velocity dispersions and black hole masses estimated by reverberation mapping. These angles,...

The microcanonical treatment of black holes as opposed to the canonical formulation is reviewed and some major differences are displayed. In particular the black hole decay rates are compared in the two different pictures. The treatment of black holes as thermodynamical systems has many mathematical and physical inconsistencies and drawbacks. In this approach the specific heat turns out to be n...

We investigate the MBH−σ∗ relation for radio-loud quasars with redshift z < 0.83 in Data Release 3 of the Sloan Digital Sky Survey (SDSS). The sample consists of 3772 quasars with better model of Hβ and [O III] lines and available radio luminosity, including 306 radio-loud quasars, 3466 radio-quiet quasars with measured radio luminosity or upper-limit of radio luminosity (181 radio-quiet quasar...

We examine the black hole mass galaxy bulge relationship in high-redshift QSOs. Black hole masses are derived from the broad emission lines, and the host galaxy stellar velocity dispersion σ∗ is estimated from the widths of the radio CO emission lines. At redshifts z > 3, the CO line widths are narrower than expected for the black hole mass, indicating that these giant black holes reside in und...

lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.

We consider pure subnormal operators T of the type studied in Carlsson, 2011, with the additional requirement that σ(T ) has one hole. If ind (T − λ0) = −n for some λ0 and n ∈ N, we show that the operator can be decomposed as T = ⊕k=1Tk, where each Tk satisfies ind (T − λ0) = −1, thus extending the classical Beurling–Lax theorem (in which σ(T ) is the unit disc). We also provide a set of unitar...

Motivated by the STM experimental data on Bi2Sr2CaCU2O8+x which indicate the tunneling conductance asymmetry σ(−V ) 6= σ(V ), we report that such a behavior can be explained in terms of the boson fermion model. It has been shown in the recent studies, based on various selfconsistent techniques to capture the many-body effects, that the low energy spectrum of the boson fermion model is featured ...