Nonlinear operations on a class of modulation spaces
Kato, Tomoya · Sugimoto, Mitsuru · Tomita, Naohito
Original · EN
We discuss when the nonlinear operation f F(f) maps the modulation space Mᵖ,qₛ(Rⁿ) (1 ≤ p,q ≤ ∞) to the same space again. It is known that Mᵖ,qₛ(Rⁿ) is a multiplication algebra when s > n-n/q, hence it is true for this space if F is entire. We claim that it is still true for non-analytic F when q≥4/3.
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