Brief Communications

Description of Self-Similar Multipliers in Negative Sobolev Spaces Satisfying the Dirichlet Condition

J. V. Tikhanov, I. A. Sheipak

Lomonosov Moscow State University

Keywords: self-similar multiplier, negative Sobolev space, Dirichlet condition, affinely self-similar function, self-similar function of zero spectral order, the space $\mathring W_2^{1}[0,1]$, the space $\mathring W_2^{-1}[0,1]$, Cauchy–Bunyakovskii inequality.

Received: 11.11.2015

DOI: 10.4213/mzm11012

 English version: Mathematical Notes, 2016, 99:2, 335–339

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