On the estimation from below of the hypersingular operator of peridynamics

Title	On the estimation from below of the hypersingular operator of peridynamics
Authors	S. N. Sheraliev¹ ¹The branch of Moscow State University named after M.V. Lomonosov in Tashkent
Annotation	For a hypersingular integral operator of the Calderon-Zygmund type associated with peridynamics problems, a lower bound is obtained. Thus, it is established that the estimate found earlier from above is precise.
Keywords	singular operators, Calderon-Zygmund inequality, peridynamics
Citation	Sheraliev S. N. ''On the estimation from below of the hypersingular operator of peridynamics'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 265-268. Available at: https://conf.svmo.ru/files/2023/papers/paper43.pdf. - Date of access: 31.10.2025.