Although many people suffer physical and mental health decrements following exposure to stress, many others show remarkable resilience, remaining healthy despite high stress levels. If the factors that account for resilience can be clearly identified and understood, perhaps resilience can be enhanced even for those most vulnerable to stress. One potential pathway to resilience is personality ha...

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

Abstract So-called respectively readings have posed serious challenges for theories of syntax and semantics. Sentences like George and Martha respectively denounced and were denounced by the governor (McCawley 1998) show that although the conjoined verbal expressions share the same syntactic subject, they do not predicate that subject in the same way; George (not Martha) denounced the governor,...

In this paper, we study Hardy–Sobolev inequalities on hypersurfaces of [Formula: see text], all them involving a mean curvature term and having universal constants independent the hypersurface. We first consider celebrated Sobolev inequality Michael–Simon Allard, in our codimension one framework. Using their ideas, but simplifying presentations, give quick easy-to-read proof inequality. Next, e...

This paper surveys a large class of nonlinear extremal problems in Hardy and Bergman spaces. We discuss the general approach to such problems in Hardy spaces developed by S. Ya. Khavinson in the 1960s, but not well known in the West. We also discuss the major difficulties distinguishing the Bergman space setting and formulate some open problems.

We perform a convergence analysis for discretization of Helmholtz scattering and resonance problems obtained by Hardy space infinite elements. Super-algebraic convergence with respect to the number of Hardy space degrees of freedom is achieved. As transparent boundary spheres and piecewise polytopes are considered. The analysis is based on a G̊arding-type inequality and standard operator theoret...

We study the adaptive decomposition of functions in the monogenic Hardy spaces H2 by higher order Szegö kernels under the framework of Clifford algebra and Clifford analysis, in the context of unit ball and half space. This is a sequel and a higher-dimensional generalization of our recent study on the complex Hardy spaces.

We show that some Hardy-type inequalities on the circle can be proved to be true on the real line. Namely, we discuss the idea of getting Hardy inequalities on the real line by the use of corresponding inequalities on the circle. In the last section, we prove the truth of a certain open problem under some restrictions.