scientific article; zbMATH DE number 3800381

DOI10.1512/iumj.1981.30.30031zbMath0507.47013OpenAlexW4239173141MaRDI QIDQ4744832

Gary Sampson, W. B. Jurkat

Publication date: 1981

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1981.30.30031

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zbMATH Keywords

convolutionoscillatory kernelLebesgue measurablethe (Lp,Lq) mapping problem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (8)

Multidimensional van der Corput and sublevel set estimates ⋮ The mapping properties for a class of oscillatory integrals ⋮ Sharp \(L^{p}\)-boundedness of oscillatory integral operators with polynomial phases ⋮ Weak type \((1,1)\) bounds for Schrödinger groups ⋮ Weighted \(L^ p\) estimates for oscillating kernels ⋮ The complete \((L^p,L^p)\) mapping properties for a class of oscillatory integrals ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions ⋮ Note on a Littlewood-Paley inequality

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