On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
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Publication:1217998
DOI10.1016/0022-1236(75)90020-8zbMath0306.47024OpenAlexW2067911745MaRDI QIDQ1217998
Publication date: 1975
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(75)90020-8
Pseudodifferential operators as generalizations of partial differential operators (35S05) Commutators, derivations, elementary operators, etc. (47B47) Integral, integro-differential, and pseudodifferential operators (47Gxx)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for translation invariant operators in \(L^p\) spaces
- On the boundedness of pseudo-differential operators
- A Class of L p -Bounded Pseudo-Differential Operators
- On the boundedness of a class of operator-valued pseudo-differential operators in $L^p $ space
- Gel'Fand Theory of Pseudo Differential Operators
- Gelfand Theory of Pseudo Differential Operators and Hypoelliptic Operators
- A Class of Bounded Pseudo-Differential Operators
- Beispiele von Pseudo-Differentialoperator-Algebrenfl