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Analytic interpolation of certain multiplier spaces

Analytic interpolation of certain multiplier spaces

Let Wp denote the space of all functions on the circle which are the uniform limit of a sequence of trigonometric polynomials which is bounded as a sequence of multipliers for lp, 1 ^ V = 2. Let Us be the interpolation space [W2, Wi]β (see 1.1). Our main result, …