Bounded Composition Operator on Lorentz Spaces
Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 836-843

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We study composition operators on Lorentz spaces. In particular, we obtain necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator.
Keywords: composition operator, Lorentz spaces, measurable mappings.
@article{MZM_2017_102_6_a3,
     author = {N. A. Evseev},
     title = {Bounded {Composition} {Operator} on {Lorentz} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {836--843},
     publisher = {mathdoc},
     volume = {102},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a3/}
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N. A. Evseev. Bounded Composition Operator on Lorentz Spaces. Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 836-843. http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a3/