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Section
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Mathematics
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Title
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The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$
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Author(-s)
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Kryakvin V.D.a,
Omarova G.P.a
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Affiliations
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Southern Federal Universitya
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Abstract
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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.
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Keywords
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the Boutet de Monvel calculus, Green operator, Hölder–Zygmund space, variable smoothness
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UDC
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517.954
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MSC
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35S15, 58J40, 58J05
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DOI
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10.35634/vm210203
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Received
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12 September 2020
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Language
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English
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Citation
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Kryakvin V.D., Omarova G.P. The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, vol. 31, issue 2, pp. 194-209.
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References
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