Geodesic
Multipliers in Dual Sobolev Spaces and Schrödinger Operators with Distribution Potentials
Matematičeskie zametki, Tome 71 (2002) no. 5, pp. 643-651 
A. A. Shkalikov; J. Bak. Multipliers in Dual Sobolev Spaces and Schrödinger Operators with Distribution Potentials. Matematičeskie zametki, Tome 71 (2002) no. 5, pp. 643-651. http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a0/
@article{MZM_2002_71_5_a0,
     author = {A. A. Shkalikov and J. Bak},
     title = {Multipliers in {Dual} {Sobolev} {Spaces} and {Schr\"odinger} {Operators} with {Distribution} {Potentials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--651},
     year = {2002},
     volume = {71},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_5_a0/}
}
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Certain sufficient conditions for functions to be embedded in the space of multipliers from the Sobolev space $H^\alpha _p({\mathbb R}^n)$ to the dual space $H^{-\alpha }_{p'}({\mathbb R}^n)$ are obtained in the present paper. In the case $\alpha >n/p$ a criterion is found, i.e., a precise description of these spaces of multipliers is given. The obtained results are applied to define the Schödinger operator with distribution potentials.

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