Geodesic
On boundedness of pseudodifferential operators in Hölder–Zygmund spaces with variable order of smoothness
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 82-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, variable index of smoothness.
Mots-clés : Hölder–Zygmund spaces 
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G. P. Omarova. On boundedness of pseudodifferential operators in Hölder–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/

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