A new approach to Nikolskii-Besov classes
classification
🧮 math.FA
keywords
classesnikolskii-besovcharacterizationnonlinearapproachfinite-formformula
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We give a new characterization of Nikolskii-Besov classes of functions of fractional smoothness by means of a nonlinear integration by parts formula in the form of a nonlinear inequality. A similar characterization is obtained for Nikolskii-Besov classes with respect to Gaussian measures on finite- and infinite-dimensional spaces.
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