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Homogeneous algebras on the circle. II. Multipliers, Ditkin conditions

Homogeneous algebras on the circle. II. Multipliers, Ditkin conditions

This paper considers the Lipschitz subalgebras Λ(α,p,𝒜) of a homogeneous algebra on the circle. Interpolation space theory is used to derive estimates for the multiplier norm on closed primary ideals in Λ(α,p;𝒜), α≠[α]. From these estimates the Ditkin and Analytic Ditkin conditions for Λ(α,p;𝒜) follow easily. Thus the well-known theory …