Ultraspherical multipliers revisited

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

Sufficient ultraspherical multiplier criteria are refined in such a way that
they are comparable with necessary multiplier conditions. Also new necessary
conditions for Jacobi multipliers are deduced which, in particular, imply
known Cohen type inequalities. Muckenhoupt's transplantation theorem is used
in an essential way.

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