Geodesic
Description of Self-Similar Multipliers in Negative Sobolev Spaces Satisfying the Dirichlet Condition
Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 314-318

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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. 
@article{MZM_2016_99_2_a14,
     author = {J. V. Tikhanov and I. A. Sheipak},
     title = {Description of {Self-Similar} {Multipliers} in {Negative} {Sobolev} {Spaces} {Satisfying} the {Dirichlet} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {314--318},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a14/}
}
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J. V. Tikhanov; I. A. Sheipak. Description of Self-Similar Multipliers in Negative Sobolev Spaces Satisfying the Dirichlet Condition. Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 314-318. http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a14/