Abstract
We establish Fredholm criteria for Wiener-Hopf operators W(a) with oscillating symbols a, continuous on ℝ and admitting mixed (slowly oscillating and semi-almost periodic) discontinuities at ±8, on weighted Lebesgue spaces L p N (ℝ+,w) where 1 < p < ∞, N ∈ N, and ±∞ belongs to a subclass of Muckenhoupt weights. For N > 1 these criteria are conditional.
Work was supported by the SEP-CONACYT Projects No. 25564 and 47220 (México). The second author was also sponsored by the CONACYT scholarship No. 163480.
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To Professor N.L. Vasilevski on the occasion of his 60th birthday
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Karlovich, Y.I., Loreto Hernández, J. (2010). Wiener-Hopf Operators with Oscillating Symbols on Weighted Lebesgue Spaces. In: Duduchava, R., Gohberg, I., Grudsky, S.M., Rabinovich, V. (eds) Recent Trends in Toeplitz and Pseudodifferential Operators. Operator Theory: Advances and Applications, vol 210. Springer, Basel. https://doi.org/10.1007/978-3-0346-0548-9_7
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