This paper is devoted to the study of the solvability of a class of integral equations, whose kernel depends on four different functions. To obtain necessary and sufficient conditions for the unique solution of this class of equations, we introduce eight new weighted convolutions associated with the kernel of our equations. Moreover, we obtain two Young-type inequalities associated with each convolution.
"On the solution of a class of integral equations using new weighted convolutions." J. Integral Equations Applications 34 (1) 39 - 58, Spring 2022. https://doi.org/10.1216/jie.2022.34.39