Boundedness of Fourier and Laplace polyconvolution operators on the dual space of L s (ℝ)

Previous studies [Math Methods Appl Sci. 2024;47(3)] and [Quaest Math 2026;49(3)] established the boundedness of the Fourier cosine – Laplace and Fourier sine – cosine polyconvolution operators on the space Ls(R),s∈[1,∞]. In this paper, we establish new Hausdorff–Young-type estimates for these polyconvolution operators. Consequently, we obtain their boundedness on the dual space of Ls(R),s∈[1,2] and apply these estimates to study the solvability of a class of Toeplitz-Hankel type integral equations.