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Let  v  : [0,∞) → ]0,∞) be a function such that the inequality  v ( ts )  ≥  ct  - μ   v ( s ) holds for 0 &lt;   t,s  ≤ 1 and some real number  μ . In the generalized Triebel–Lizorkin spaces  F p,q    v  (R  n  ), we will study the boundedness of the pseudo-differential operators whose symbols belong to Hörmander´s class  S  1, δ    m  ,0 ≤  δ  &lt; 1.

Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces