Lₚ-Multipliers on Quantum Tori

الأصل · EN

It was shown by Chen, Xu and Yin that completely bounded Fourier multipliers on noncommutative Lₚ-spaces of quantum tori Tᵈθ do not depend on the parameter θ. We establish that the situation is somehow different for bounded multipliers. The arguments are based on transference from the commutative torus.