Fredholm property of pseudodifferential operators on \({\mathbb{R}}^ n\) in the scale of the spaces \(L_{2,p}\)

DOI10.1007/BF00969872zbMath0667.47023OpenAlexW2024624802MaRDI QIDQ1117439

Vladimir S. Rabinovich

Publication date: 1988

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969872

zbMATH Keywords

Fredholmnessboundedness of pseudodifferential operatorsscale of functional space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Pseudodifferential operators as generalizations of partial differential operators (35S05) (Semi-) Fredholm operators; index theories (47A53) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Pseudodifferential operators on \(\mathbb{R}^n\) with variable shifts ⋮ Fredholm property of general elliptic problems ⋮ The essential spectrum of Schrödinger, Jacobi, and CMV operators ⋮ Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections

Cites Work

• Normal solvability and the Noethericity of elliptic operators in spaces of functions on \(R^ n\). I
• Weighted distribution spaces and pseudodifferential operators
• On One-Sided Inverses in Banach Algebras of Holomorphic Vector-Valued Functions
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