Stability results on interpolation scales of quasi-Banach spaces and applications
From MaRDI portal
Publication:4211127
DOI10.1090/S0002-9947-98-02008-XzbMath0902.46002arXivmath/9709210MaRDI QIDQ4211127
Marius Mitrea, Nigel J. Kalton
Publication date: 10 September 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9709210
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (Semi-) Fredholm operators; index theories (47A53) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)
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Cites Work
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- Unnamed Item
- Complex interpolation of \(H^ p\) spaces on product domains
- A discrete transform and decompositions of distribution spaces
- Boundary value problems for the systems of elastostatics in Lipschitz domains
- Complex interpolation of some quasi-Banach spaces
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Spectral theory and complex interpolation
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- A theory of complex interpolation for families of Banach spaces
- Potential theory, surveys and problems. Proceedings of a conference held in Prague, July 19-24, 1987
- Parabolic maximal functions associated with a distribution. II
- Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
- Stability of Fredholm properties on interpolation scales
- Interpolation between \(H^ p \)spaces: The complex method
- The Neumann problem on Lipschitz domains in Hardy spaces of order less than one
- \(H^p\) spaces of several variables
- Plurisubharmonic functions on quasi-Banach spaces
- The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
- Analytic functions in non-locally convex spaces and applications
- Stability in Interpolation of Families of Banach Spaces
- Extensions of Hardy spaces and their use in analysis
- Intermediate spaces and interpolation, the complex method