The object of this article is to prove the uniqueness of the composition ƒ − ρ∞φ, where ρ is a polynomial of degree at most ρ and φ is a normalized univalent function, whenever ƒ is a close-to-convex function of order ρ. We also give an example of a weakly close-to...
This chapter presents the study of composition operators on the weighted locally convex spaces of continuous functions and cross-sections. It discusses several classical results pertaining to these operators. The chapter focuses on the study of composition operators on the weighted spaces of scalar-...
2CompositionOperatorsonSpacesH妒Generatedbylog—Convex一 Functions LetbeananalyticseIf-maponD,theninducesalinearoperatorConH(D)aSfol lows: f:.,..Ciscalledthecompositionoperatorinducedby.Throughoutthissectlon assumealwalysthatisalog—comrexqo-functionanddiscussboundednessa ...
are studied in chapter iii. this chapter makes contact with the theory of analytic functions of complex variables. chapter iv presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. in the last chapter of the book some ...
Market tightness, defined as the ratio of vacant jobs and unemployed workers, is denoted as \(x\), the worker-finding rate as \(m(x)\), and the job-finding rate as \(xm(x)\). 2.2 Profit functions and optimality conditions The following equation governs employment in firm \(i\) ...
Taking ΔT = T*T − I, it is easily seen that T is a convex operator if and only if T*ΔTT≥ΔT. A weighted Hardy space is a Hilbert space of analytic functions on the open unit disc D for which the sequence forms a complete orthogonal set of nonzero vectors. It is usually ...
aThe three points mentioned above illustrate that the object function of best response OPi meets the conditions of continuity, increasing, and convex functions; the non-cooperative game of optimal service composition is a sole Nash equilibrium solution (Orda et al., 1993); thus, the theorem is ...
aThe three points mentioned above illustrate that the object function of best response OPi meets the conditions of continuity, increasing, and convex functions; 以上提到的三点说明最佳的反应OPi的对象作用符合连续性,增加和凸函数的条件; [translate] acelebrities celebrities [translate] agaseous phase 气体...
5. The understanding and modeling of such biogeochemical functions is key for predicting the global functioning of oceanic ecosystems, and especially their response to climate change6,7,8. These biogeochemical functions are usually modeled by simulating the dynamics of plankton functional types (PFT) ...
able to have a substantially concave or convex form, then polymerized and hardened during a more or less gradual temperature increase. Once the polymerization is finished, an organic glass is obtained which can then undergo different types of treatment depending on the desired applications. As a va...