Abstract It is well known that the interpolation error for $$\left| x\right| ^{\alpha },\alpha &gt;0$$ x ? , &gt; 0 in $$L_{\infty }\left[ -1,1\right] $$ <m...

Abstract Let $V$ be a finite-dimensional vector space over $\mathbb{F}_p$ . We say that multilinear form $\alpha \colon V^k \to \mathbb{F}_p$ in $k$ variables is $d$ - approximately symmetric if the partition rank of difference (x_1, \ldots, x_k) \alpha (x_{\pi (1)}, x_{\pi (k)})$ at most for every permutation $\pi \in \textrm{Sym}_k$ In work concerning inverse theorem Gowers uniformity $\|\!\c...

We prove that Bergman projections on weighted mixed norm spaces smoothly bounded domains in $\mathbb{R}^n$ are for a certain range of parameters such and assuming conditions weights. The proof relies estimates integral means $M_p(P_\gamma f, r)$ terms $f$. This result complements earlier boundedness $P_\gamma$ closely related space $L^{p,q}_\alpha(\Omega).$

Alpha-thalassemias are characterized by decreased hemoglobin alpha chain synthesis; alpha-zerothalassemia being the condition where no normal alpha globin is produced, and alpha-plus-thalassemia being the condition where there is reduced globin production. There are two alpha globin genes per haploid genome, and alpha thalassemia abnormalities can result from one to four gene deletions. A singl...

a new synthesis of a-hydroxycarboxylates and 2-hydroxybenzoates based on the reaction of acetonides of a-hydroxycarboxylic acids and 2-hydroxybenzoic acid with sodium alkoxides in the corresponding alcohols as solvent is described. in general, decreasing the steric hindrance of the reactants and increasing the boiling points of alcohols increased the yields and decreased the required time for t...