Abstract
Conditions on the kernel of the classical Wiener-Hopf equation are obtained which provide the same smoothness of any solution in terms of its inclusion in different spaces of smooth functions such as\(C^s \left( {\mathbb{R}^ + } \right), Z^s \left( {\mathbb{R}^ + } \right), H_p^s \left( {\mathbb{R}^ + } \right), and B_{p, q}^s \left( {\mathbb{R}^ + } \right)\) as the function in the right side of the equation.
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Duduchava, R. Wiener-Hope equations with the transmission property. Integr equ oper theory 15, 412–426 (1992). https://doi.org/10.1007/BF01200327
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DOI: https://doi.org/10.1007/BF01200327