Article investigates boundedness of oscillatory singular integral operators on Triebel–Lizorkin spaces, extending known results.
In this article, we investigate oscillatory singular integral operators on product domains. We establish the boundedness of these operators on Triebel–Lizorkin spaces under weak assumptions on the rough kernel functions. Our results extend several known results from the one-parameter setting to the two-parameter setting.
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Ali et al. (2026) studied this question.
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