Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves

DOI10.1134/S0001434610050093zbMath1282.42010MaRDI QIDQ368211

Isroil A. Ikromov

Publication date: 18 September 2013

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

zbMATH Keywords

Fourier transformversal deformationdiffeomorphism grouposcillatory integraldifferentiable curveexponent of summabilityRandol function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (5)

On boundedness of maximal operators associated with hypersurfaces ⋮ Integrability of the Fourier transforms of measures concentrated on hypersurfaces ⋮ Weierstrass polynomials in estimates of oscillatory integrals ⋮ Randol maximal functions and the integrability of the Fourier transform of measures ⋮ Remarks on estimates for the adjoint restriction operator to curves over the sphere

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