A real-variable construction with applications to BMO–Teichmüller theory

Theory of functions of a real variable

axioms for a space on which we can define integration. Furthermore, the set of such functions is an algebra containing 1 and which separates points, so is dense in C(Ω) by the Stone-Weierstrass theorem. Let us call the space of such functions Cfin(Ω). If we define an integral I on Cfin(Ω) then, by the Stone-Weierstrass theorem it extends to C(Ω) and therefore, by the Riesz representation theore...

Applications of subordination theory to starlike functions

Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...

Optical Elastography: From Theory to Clinical Applications

A Quotient Construction on Markov Chains with Applications to the Theory of Generalized Simulated Annealing

In an earlier paper [14], we developed the first algorithm (to our knowledge) for computing the stochastically stable distribution of a perturbed Markov process. The primary tool was a novel quotient construction on Markov matrices. In this paper, we show that the ideas and techniques in that paper arise from a more fundamental construction on Markov chains, and have much wider applicability th...

applying transitivity theory to gender analysis of efl textbook: : a comparative study.

efl/esl textbooks have been regarded as essential language teaching materials with which the learners spend about 70 up to 90 percent of their class time. the important role they play and their vast use make them not only influential in learning the language but also in shaping values and attitudes. put it another way, textbooks socialize learners using their contents (i.e. texts, illustrations...