Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are studied under mild assumptions on the rotational curvature. The results generalize previously known estimates. Also, they extend sharp estimates known for convolution operators with affine arclength measures to the semitranslation-invariant case
We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series...
Inter alia we prove L1 maximal regularity for the Laplacian in the space of Fourier transformed fini...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We consider rotation invariant windowed Radon transforms that integrate a func-tion over hyperplanes...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
International audienceWe consider rotation invariant windowed Radon transforms that integrate a func...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real ...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
AbstractIn this paper we characterize the range of the matrix Radon transform by invariant different...
AbstractWe prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves...
We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series...
Inter alia we prove L1 maximal regularity for the Laplacian in the space of Fourier transformed fini...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We consider rotation invariant windowed Radon transforms that integrate a func-tion over hyperplanes...
AbstractWe consider rotation invariant windowed Radon transforms that integrate a function over hype...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
International audienceWe consider rotation invariant windowed Radon transforms that integrate a func...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real ...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
AbstractIn this paper we characterize the range of the matrix Radon transform by invariant different...
AbstractWe prove Lp→Lq convolution estimates for the affine arclength measure on certain flat curves...
We consider weighted Radon transforms on the plane, where weights are given as finite Fourier series...
Inter alia we prove L1 maximal regularity for the Laplacian in the space of Fourier transformed fini...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
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