We study several related extremal problems for analytic functions in a finitely connected domain $$G$$ with rectifiable Jordan boundary $$\Gamma$$ . A sharp inequality is established between values of function and weighted means its on two measurable subsets $$\gamma_{1}$$ $$\gamma_{0}=\Gamma\setminus\gamma_{1}$$ the boundary: $$|f(z_{0})|\leq\mathcal{C}\,\|f\|^{\alpha}_{L^{q}_{\varphi_{1}}(\ga...

Previous studies have shown that nicotine can affect beta cell function and insulin secretion in cigarette smokers. The aim of present study was to evaluate the effect of 10 weeks aerobic exercise on insulin and beta cell function in smokers. In this semi-experimental study with pre and post-training design, a total of 36 adult smoker men aged 41±2.5 years were selected into either exerc...

Abstract: Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation, we derive a reduction formula for a kind of double q-integrals. This reduction formula is used to derive a curious double q-integral formula, and also allows us to prove a general q-beta integral formula including the Askey–Wilson integral formula as a special case. Using this double ...

We report the nucleotide sequence of the Group IV RNA bacteriophage SP. The entire sequence is 4276 nucleotides long. Four cistrons have been identified by comparison with the related Group III phage Q beta. The maturation protein contains 449 amino acids, the coat protein contains 131 amino acids, the read-through protein contains 330 amino acids and the replicase beta-subunit contains 575 ami...

We consider the following Keller-Segel system with gradient dependent chemotactic coefficient: \begin{document}$ \begin{equation*} \begin{cases} u_{t} = \Delta u- \chi \nabla\cdot (uf(|\nabla v|)\nabla v),\\ 0 v -v+g(u), \end{cases} \end{equation*} $\end{document} in smooth bounded domains $ \Omega \subset \mathbb{R}^{n}, \,n\geq 1 f(\xi) \big(\xi^{p-2}\big(1+\xi^{p}\big)^{\frac{q-p}{p}}\big), ...

Receptor-mediated airway smooth muscle (ASM) contraction via G(alphaq), and relaxation via G(alphas), underlie the bronchospastic features of asthma and its treatment. Asthma models show increased ASM G(alphai) expression, considered the basis for the proasthmatic phenotypes of enhanced bronchial hyperreactivity to contraction mediated by M(3)-muscarinic receptors and diminished relaxation medi...

In this paper we study the vector-valued analogues of several inequalities for Fourier transform. particular, consider Hausdorff–Young, Hardy–Littlewood, Paley, Pitt, Bochkarev and Zygmund. The Pitt include Hausdorff–Young Hardy–Littlewood state that transform is bounded from $$L^p({\mathbb {R}}^d,|\cdot |^{\beta p})$$ into $$L^q({\mathbb |^{-\gamma q})$$ under certain condition on $$p,q,\beta ...