Fredholm pseudo-differential operators on weighted Sobolev spaces

DOI10.1007/BF02384315zbMath0543.47046MaRDI QIDQ796087

Man-Wah Wong

Publication date: 1983

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spacespseudo-differential operatorcontinuity in Sobolev spacesFredholm systems

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (12)

Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$ ⋮ Spectral theory of a hybrid class of pseudo-differential operators ⋮ Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) ⋮ Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\) ⋮ Pseudodifferential operators with smooth symbols and their commutators on weighted Morrey spaces ⋮ \(M\)-ellipticity of Fredholm pseudo-differential operators on \(L^p (\mathbb{R}^n)\) and Gårding's inequality ⋮ Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\) ⋮ Essential spectra of elliptic pseudo-differential operators ⋮ Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces ⋮ Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n ) ⋮ On Some Spectral Properties of Elliptic Pseudodifferential Operators ⋮ Compactness of commutators of pseudo-differential operators with smooth symbols on weighted Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general calculus of pseudodifferential operators
• On a class of interpolation spaces
• Pseudodifferential operators on \(R^ n\) with bounded symbols
• \(H^p\) spaces of several variables
• Results on Weighted Norm Inequalities for Multipliers
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Weighted norm inequalities for maximal functions and singular integrals
• The weyl calculus of pseudo-differential operators
• Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type
• Intermediate spaces and interpolation, the complex method
• Weighted Norm Inequalities for the Hardy Maximal Function
• On the index of hypoelliptic pseudo-differential operators on $R^n $
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

This page was built for publication: Fredholm pseudo-differential operators on weighted Sobolev spaces