A class of unbounded Fourier integral operators

DOI10.1006/JMAA.1998.6033zbMath0915.35121OpenAlexW2075497943MaRDI QIDQ1270692

K. Appert

Publication date: 7 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6033

zbMATH Keywords

construction of a class of unbounded Fourier integral operators

Mathematics Subject Classification ID

Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (10)

The boundedness of a class of semiclassical Fourier integral operators on Sobolev space \(H^s\) ⋮ Unnamed Item ⋮ On a class of h-Fourier integral operators with the complex phase ⋮ Unnamed Item ⋮ $h$-Admissible Fourier integral operators ⋮ On the unboundedness of a class of Fourier integral operators on \(L^2(\mathbb R^n)\) ⋮ On the global Lp boundedness of a general class of h-Fourier integral operators ⋮ On a class of \(h\)-Fourier integral operators ⋮ \(H^s\)-boundedness of a class of Fourier integral operators ⋮ L2-boundedness and L2-compactness of a class of semiclassical Fourier integral operators with operator symbol

Cites Work

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• A boundedness criterion for generalized Calderón-Zygmund operators
• Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld
• On the boundedness of pseudo-differential operators
• Pseudo-differential operaors of type 1,1.
• A problem of nirenberg on pseudo‐differential operators
• On the L² continuity of pseudo‐differential operators

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