Geodesic
On boundedness of pseudodifferential operators in H\"older--Zygmund spaces with variable order of smoothness
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 82-85

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We consider the Hölder–Zygmund spaces of functions with variable index of smoothness defined on finite-dimensional real space. The index of smoothness depends on a point in this space and may take negative values. We prove the boundedness theorem for pseudodifferential operators with exotic symbols the from Hörmander classes in these spaces.
Keywords: pseudodifferential operators, Hölder–Zygmund spaces, variable index of smoothness. 
@article{IVM_2015_6_a9,
     author = {G. P. Omarova},
     title = {On boundedness of pseudodifferential operators in {H\"older--Zygmund} spaces with variable order of smoothness},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {82--85},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_6_a9/}
}
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G. P. Omarova. On boundedness of pseudodifferential operators in H\"older--Zygmund spaces with variable order of smoothness. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 82-85. http://geodesic.mathdoc.fr/item/IVM_2015_6_a9/