The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$

DOI10.35634/VM210203zbMath1484.35427OpenAlexW3174456971MaRDI QIDQ5037451

Gulnara Omarova, Vadim D. Kryakvin

Publication date: 1 March 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu764

zbMATH Keywords

Boutet de Monvel calculusHölder-Zygmund spaceGreen operatorvariable smoothness

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Elliptic equations on manifolds, general theory (58J05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

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• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Functional calculus of pseudo-differential boundary problems
• \(L^p\) and Hölder estimates for pseudodifferential operators: sufficient conditions
• Spectral invariance for pseudodifferential operators in Hölder-Zygmund spaces of the variable smoothness
• Boundedness of pseudodifferential operators in Hölder-Zygmund spaces of variable order
• Boundary problems for pseudo-differential operators
• Pseudo-differential boundary problems in L_p, spaces
• Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
• Pseudodifferential Operators in Weighted Hölder–Zygmund Spaces of Variable Smoothness

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