Theoretical analysis establishes Boas-type theorems for generalized Lipschitz classes under the Sturm-Liouville transform, highlighting applications to multiplier operators.
We introduce generalized Lipschitz classes Lipₖ(β) and lipₖ(β) of functions associated with the Sturm-Liouville operator L; and we prove two versions of Boas-type theorems for the Sturm-Liouville transform F. An application to Sturm-Liouville multipliers is given.
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Soltani et al. (2026) studied this question.
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