Boundedness of maximal functions on non-doubling manifolds with ends

Let $M$ be a manifold with ends constructed in \cite{GS} and $\Delta$ be the Laplace-Beltrami operator on $M$. In this note, we show the weak type $(1,1)$ and $L^p$ boundedness of the Hardy-Littlewood maximal function and of the maximal function associated with the heat semigroup \M_\Delta f(x)=\sup_{t> 0} |\exp (-t\Delta)f(x)| on $L^p(M)$ for $1 < p \le \infty$. The significance of these results comes from the fact that $M$ does not satisfies the doubling condition

Study on Technology Innovation and Human Resources Reallocation

Economic globalization promotes rapid development of scientific technology. The emergence of technological innovation makes that optimal allocation of human resources has been on the agenda gradually.Relying on technological innovation, enhancing the production efficiency of the enterprises constantly, implementing cost-effective or differentiation are the key of devepment.Human resources in the process of devepment plays an important role in technology innovation.Technology innovation guides the enterprises to implement human resources reallocation for reducing the cost of human resources and strengthening the flow of human resource and the usage efficiency.Human resources as the most basic element of enterprise, is the subject of technological innovation.From the points of technical innovation and human resources,this paper analyzes the relationship between them,reveals the principle of the interaction effects, discusses the strategy of human resource reallocation under the technological innovation