Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on Weighted Lebesgue Spaces

摘要

We obtain an invertibility characterization for Wiener-Hopf plus Hankel operators with almost periodic symbols on weighted Lebesgue spaces L~p (R_+, w), where 1 < p < ∞ and w belongs to a subclass of Muckenhoupt weights. The method is essentially based on a factorization concept for almost periodic functions within the Fourier multipliers on L~p(R_+, w). Additionally, formulas for one-sided and the two-sided inverses of the Wiener-Hopf plus Hankel operators under study are also obtained.