FOURIER COSINE-LAPLACE GENERALIZED CONVOLUTION INEQUALITIES AND APPLICATIONS

摘要

We introduce several weighted L-p(R+) -norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms. Some applications of these inequalities to estimate the solutions of some partial differential equations are considered. We also obtained solutions of a class of the Toeplitz plus Hankel integro-differential equations in closed form.