Add to ORKGSobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cusp singularities are discussed. The results for folds yield sharp estimates for restricted X-ray transforms and averages over nondegenerate curves in R³ and those for cusps give sharp L² estimates for restricted X-ray transforms in R 4 . In R 4 , sharp Lebesgue space estimates are proven for a class of model operators associated to rigid line complexes
The purpose of this paper is to prove essentially sharp Lp-Lq estimates for non-degenerate one-dimen...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
In this paper we study the mapping properties of singular Radon transforms defined by translates of ...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
AbstractWe prove Sobolev inequalities for singular and fractional Radon transforms which are defined...
AbstractSingular Radon transforms of order α are defined. For each α ∈ R, a model transform R̃α on R...
We prove sharp L estimates for oscillatory integral and Fourier integral operators for which the...
Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are stud...
We prove sharp $L^p$ regularity results for a class of generalized Radon transforms for families of ...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Abstract. We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier in-tegral ...
We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase...
AbstractIn this paper, optimal Lp–Lq estimates are obtained for operators which average functions ov...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
The purpose of this paper is to prove essentially sharp Lp-Lq estimates for non-degenerate one-dimen...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
In this paper we study the mapping properties of singular Radon transforms defined by translates of ...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
AbstractWe prove Sobolev inequalities for singular and fractional Radon transforms which are defined...
AbstractSingular Radon transforms of order α are defined. For each α ∈ R, a model transform R̃α on R...
We prove sharp L estimates for oscillatory integral and Fourier integral operators for which the...
Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are stud...
We prove sharp $L^p$ regularity results for a class of generalized Radon transforms for families of ...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Abstract. We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier in-tegral ...
We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase...
AbstractIn this paper, optimal Lp–Lq estimates are obtained for operators which average functions ov...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
The purpose of this paper is to prove essentially sharp Lp-Lq estimates for non-degenerate one-dimen...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
In this paper we study the mapping properties of singular Radon transforms defined by translates of ...