IIT Guwahati: Department of Transportation Experience with Microsurfacing

Abstract

This article explores weighted (L p , L q ) inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and sufficient conditions for these inequalities to hold. To prove the weighted Fourier inequalities, we apply restriction theorems on symmetric spaces and utilize Calderón's estimate for sublinear operators. While establishing the necessary conditions, we demonstrate that Harish-Chandra's elementary spherical functions play a crucial role in this setting. Furthermore, we apply our findings to derive Fourier inequalities with polynomial and exponential weights.

Strategies to enhance the level of service and safety of rural roads: A case study

“…By comparison, the road pavement improvement considers more on a sustainable design and maintenance. To realize the environment-friendly maintenance, Kumar and Ryntathiang studied the performance of the pavement condition index with the age of pavement, and introduced the technology of micro-surfacing [4]. Pasindu et al performed an optimization analysis for the pavement management of the rural roadnet, upon the calculation of cumulative safety and international roughness [5].…”