\(L^2\) estimates for averaging operators along curves with two-sided \(k\)-fold singularities

DOI10.1215/S0012-7094-97-08910-9zbMath0908.47050MaRDI QIDQ1366689

Scipio Cuccagna

Publication date: 17 September 1997

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

zbMATH Keywords

LagrangianFourier integral operatorsSobolev estimatesaveraging operators along curvesconormal bundle of a submanifold

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items

Elements of functional calculus and \(L^2\) regularity for some classes of Fourier integral operators, Optional regularity of fourier integral operators with one-sided folds, Singular spherical maximal operators on a class of two step nilpotent Lie groups, On 𝐿^{𝑝} continuity of singular Fourier integral operators, $L^p$ regularity for a class of averaging operators on the Heisenberg group, The circular maximal operator on Heisenberg radial functions, Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups, Spherical maximal operators on Heisenberg groups: Restricted dilation sets, Oscillatory integral operators in scattering theory, An FIO calculus for marine seismic imaging. II: Sobolev estimates, Strongly singular Radon transforms on the Heisenberg group and folding singularities, \(L^p\)-Sobolev estimates for a class of integral operators with folding canonical relations, \(L^p\) regularity estimates for a class of integral operators with fold blowdown singularities, Oscillatory integral operators with low-order degeneracies., Estimates on level set integral operators in dimension two, $L^p$ regularity of averaging operators with higher fold singularities

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