In this paper, we study the $$L^{p}$$ boundedness and $$L^{p}(w)$$ ( $$1<p<\infty $$ w a Muckenhoupt $$A_{p}$$ weight) of fractional maximal singular integral operators $$T_{\Omega ,\alpha }^{\#}$$ with homogeneous convolution kernel $$\Omega (x)$$ on an arbitrary group $${\mathbb {H}}$$ dimension {Q}}$$ . We show that if $$0<\alpha <{\mathbb , \in L^{1}(\Sigma )$$ satisfies cancellation condit...

background: alpha-thalassemia syndrome includes a group of hereditary anemia in which expression of alpha globin chains is decreased or absent. impaired rbc in patients with thalassemia causes vessel involvement and endothelial cell vessel disturbance. vascular endothelial growth factor (vegf) is the most important regulator for endothelial cell proliferation. so, the aim of this study is to co...

For all $a,b>0$, the following two optimal inequalities are presented: $H^{alpha}(a,b)L^{1-alpha}(a,b)geq M_{frac{1-4alpha}{3}}(a,b)$ for $alphain[frac{1}{4},1)$, and $ H^{alpha}(a,b)L^{1-alpha}(a,b)leq M_{frac{1-4alpha}{3}}(a,b)$ for $alphain(0,frac{3sqrt{5}-5}{40}]$. Here, $H(a,b)$, $L(a,b)$, and $M_p(a,b)$ denote the harmonic, logarithmic, and power means of order $p$ of two positive numbers...

This article is concerned with two inverse problems on determining moving source profile functions in evolution equations a derivative order $\alpha\in(0,2]$ time. In the first problem, sources are supposed to move along known straight lines, and we suitably choose partial interior observation data finite Reducing determination of initial values, prove unique one profiles for $0<\alpha\le1$ $1<...

Background: Histone deacetylation of tumor suppressor genes such as estrogen receptor alpha (ER&alpha;) can induce cancer, which is reversible by epi-drugs such as valproic acid (VPA). The previous result indicated that tamoxifen (TAM) induced apoptosis in hepatocellular carcinoma (HCC). This study was designed to assess the apoptotic and antiproliferative effects of VPA and TAM and also the ef...

The antioxidant activities of astaxanthin and related carotenoids have been measured by employing a newly developed fluorometric assay. This assay is based on 4,4-difluoro-3,5-bis(4-phenyl-1, 3-butadienyl)-4-bora-3a,4a-diaza-s-indacene (BODIPY 665/676) as an indicator; 2,2'-azobis-2,4-dimethylvaleronitrile (AMVN) as a peroxyl radical generator; and 6-hydroxy-2,5,7, 8-tetramethylchroman-2-carbox...

We have found reduced activity of tumor necrosis factor (TNF)-alpha accompanying resolving and fibrosing alveolitis induced in NMRI mice by mineral particles (MnO2 and SiO2, respectively), which is in apparent contradiction to the well-recognized proinflammatory and profibrotic activities of this cytokine. The objective of this study was to examine the mechanisms involved in this paradoxical re...

A Lactobacillus plantarum bacteriocin, plantaricin A, has been purified to homogeneity by ammonium sulphate precipitation, binding to cation exchanger and Octyl-Sepharose, and reverse-phase chromatography. The bacteriocin activity was associated with two peptides, termed alpha and beta, which were separated upon reverse-phase chromatography. Bacteriocin activity required the complementary actio...