Geodesic
The Boutet de Monvel operators in variable H\"older--Zygmund spaces on $\mathbb{R}^{n}_+$
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 194-209

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We consider Green operators from the Boutet de Monvel algebra in the Hölder–Zygmund spaces of variable smoothness on $\overline{\mathbb R}^{n}_+$. The order of smoothness depends on a point in the domain and may take negative values. The sufficient conditions of boundedness of the Boutet de Monvel operators are obtained.
Keywords: Green operator, Hölder–Zygmund space, variable smoothness.
Mots-clés : the Boutet de Monvel calculus 
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     title = {The {Boutet} de {Monvel} operators in variable {H\"older--Zygmund} spaces on $\mathbb{R}^{n}_+$},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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V. D. Kryakvin; G. P. Omarova. The Boutet de Monvel operators in variable H\"older--Zygmund spaces on $\mathbb{R}^{n}_+$. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 194-209. http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a2/