On a~condition necessary for interpolation by functions in the Lipschitz class
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 39-42

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For the weak modulus of continuity and the corresponding Lipschitz class, a necessary condition for interpolation by analytic functions is given in the form of Dyn'kin's inequality.
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     author = {A. V. Vasin},
     title = {On a~condition necessary for interpolation by functions in the {Lipschitz} class},
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A. V. Vasin. On a~condition necessary for interpolation by functions in the Lipschitz class. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 39-42. http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a1/