AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms along curves for α⩽β and p<q. For a fixed α and β, if p is sufficiently close to 2 the best possible q is obtained, up to ε. The method is related to that of Greenblatt (Ph.D. Thesis, Princeton University, 1998)
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
AbstractWe establish near-optimal mixed norm estimates for the X-ray transform restricted to polynom...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are stud...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
Let $S$ and the origin be different points of the closed curve $s$ in the plane. For any point $P$ t...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
Abstract. The Radon transform on Zkn averages a function over its values on a translate of a fixed s...
E.~T. Quinto proved that for a generalized Radon transform $R$ on ${opr}^n$ the translation invarian...
Let $f$ be a function in $\mathbb R^2$, which has a jump across a smooth curve $\mathcal S$ with non...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
AbstractWe establish near-optimal mixed norm estimates for the X-ray transform restricted to polynom...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Uniform improving estimates of damped plane Radon transforms in Lebesgue and Lorentz spaces are stud...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
Let $S$ and the origin be different points of the closed curve $s$ in the plane. For any point $P$ t...
Abstract. A correspondence among the totally geodesic Radon transforms| as well as among their duals...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
AbstractWe prove sharp Lp→Lq estimates for averaging operators along general polynomial curves in tw...
Abstract. The Radon transform on Zkn averages a function over its values on a translate of a fixed s...
E.~T. Quinto proved that for a generalized Radon transform $R$ on ${opr}^n$ the translation invarian...
Let $f$ be a function in $\mathbb R^2$, which has a jump across a smooth curve $\mathcal S$ with non...
We prove sharp Lp → Lq estimates for averaging operators along general polynomial curves in two and ...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
AbstractWe establish near-optimal mixed norm estimates for the X-ray transform restricted to polynom...
DOI
Add to ORKG