Description of self-similar multipliers in negative Sobolev spaces satisfying the Dirichlet condition

DOI10.1134/S0001434616010375zbMath1359.46039OpenAlexW2314593689MaRDI QIDQ296017

I. A. Sheipak, Yu. V. Tikhonov

Publication date: 14 June 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616010375

zbMATH Keywords

Dirichlet conditionCauchy-Bunyakovskii inequalityaffinely self-similar functionnegative Sobolev spaceself-similar function of zero spectral orderself-similar multiplierspace \({\mathop{W}\limits^{\circ}}_2^{-1}[0, 1\)]space \({\mathop{W}\limits^{\circ}}_2^{1}[0, 1\)]

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

This page was built for publication: Description of self-similar multipliers in negative Sobolev spaces satisfying the Dirichlet condition