A Conformal Inequality Related to the Conditional Gauge Theorem
نویسندگان
چکیده
We prove the inequality h(x)~ G(x, y)h(y) < cG(x, y) +c, where G is the Green function of a plane domain D , h is positive and harmonic on D , and c is a constant whose value depends on the topological nature of the domain. In particular, for the class of proper simply connected domains c may be taken to be an absolute constant. As an application, we prove the Conditional Gauge Theorem for plane domains of finite area for which the constant c in the above inequality is finite.
منابع مشابه
An extension theorem for conformal gauge singularities
We analyse conformal gauge, or isotropic, singularities in cosmological models in general relativity. Using the calculus of tractors, we find conditions in terms of tractor curvature for a local extension of the conformal structure through a cosmological singularity and prove a local extension theorem along a congruence of time-like conformal geodesics.
متن کاملاندازهگیری غیرخطی تحرک شرطی درآمدی در ایران «کاربردی از دادههای شبهترکیبی»
One of the issues discussed in economy is the socioeconomic inequality in the society. Income mobility is another measure which indicates the degree of inequality of opportunity in a society. The extent of income mobility depends on socio-economic status of the individuals. Different socio-economic status leads to further inequality and increases inequality of opportunity. Such inequalities l...
متن کاملContractive gauge functions in strongly orthogonal metric spaces
Existence of fixed point in orthogonal metric spaces has been initiated recently by Eshaghi and et al. [On orthogonal sets and Banach fixed Point theorem, Fixed Point Theory, in press]. In this paper, we introduce the notion of the strongly orthogonal sets and prove a genuine generalization of Banach' fixed point theorem and Walter's theorem. Also, we give an example showing that our main theor...
متن کاملNonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents, interpolate between central charges of the UV and IR critical theories. We develop techniques that allow one to calculate the flows of the central charges and that of the Euler trace anomaly coefficient in a genera...
متن کاملStrong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.
متن کامل