Mathematical Sciences: Applications of Transference in Multiplier Theory

阿斯玛教授的研究项目涉及 心理分析中的移情方法 重点是找到 的强型模和弱型模的维数无关界 极大算子和其他奇异积分算子。 正在研究的方法和应用涉及各种 在无限维空间中出现的算子或函数 在偏微分方程的分析中， 数学物理 例如，这包括以下方程： 电磁学和流体动力学。 知道这些是 有界算子通常是研究 解这些方程。

Professor Asmar's research project concerns the applications of transference methods in analysis. The emphasis is on finding dimension independent bounds on the strong and weak type norms of maximal operators and other singular integral operators. The method and applications under study involve the kinds of operators or functions in infinite dimensional spaces which occur in the analysis of the partial differential equations of mathematical physics. This includes, for example, the equations of electromagnetism and fluid dynamics. Knowing that these are bounded operators is often an important first step in studying solutions to these equations.