Geodesic
Pseudodifferential Operators on Besov Spaces of Variable Smoothness
Matematičeskie zametki, Tome 104 (2018) no. 4, pp. 571-587

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We consider pseudodifferential operators of variable order acting on Besov spaces of variable smoothness. We prove the boundedness and compactness of such operators and study the Fredholm property of pseudodifferential operators of variable order with symbols slowly oscillating at infinity on weighted Besov spaces with variable smoothness.
Keywords: pseudodifferential operators, variable smoothness, Fredholm theory, exponential estimates.
Mots-clés : Besov spaces 
@article{MZM_2018_104_4_a6,
     author = {V. D. Kryakvin and V. S. Rabinovich},
     title = {Pseudodifferential {Operators} on {Besov} {Spaces} of {Variable} {Smoothness}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {571--587},
     publisher = {mathdoc},
     volume = {104},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_4_a6/}
}
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V. D. Kryakvin; V. S. Rabinovich. Pseudodifferential Operators on Besov Spaces of Variable Smoothness. Matematičeskie zametki, Tome 104 (2018) no. 4, pp. 571-587. http://geodesic.mathdoc.fr/item/MZM_2018_104_4_a6/