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We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof leverages the existing one-dimensional theory to produce a nontrivial bounds in any dimension. For certain combinatorially simple transforms, this range is sharp up to endpoints. Additionally, we make observations connecting the Lp-improving properties of a Radon-like transform to the zero set of certain homogeneous polynomials
We consider weighted Radon transforms $R_W$ along hyperplanes in $R^3$ with strictly positive weight...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
We consider the weighted Radon transforms $R_W$ along hyperplanes in $R^d , \, d ≥ 3$, with strictly...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
We prove \(L^p-L^q\) boundedness for a wide class of Radon-like transforms. The technique of proof l...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
AbstractIn this paper, optimal Lp–Lq estimates are obtained for operators which average functions ov...
MasterIn this paper, we review various bounds of restricted X-ray transform aswell as "Combinatorial...
Abstract. We consider a weighted Radon transform in the plane, Rm(ξ, η) =R R f(x, ξx + η)m(x, ξ, η)d...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
AbstractSingular Radon transforms of order α are defined. For each α ∈ R, a model transform R̃α on R...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
We consider weighted Radon transforms $R_W$ along hyperplanes in $R^3$ with strictly positive weight...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
We consider the weighted Radon transforms $R_W$ along hyperplanes in $R^d , \, d ≥ 3$, with strictly...
We prove Lp– Lq boundedness for a wide class of Radon-like transforms. The technique of proof levera...
We prove \(L^p-L^q\) boundedness for a wide class of Radon-like transforms. The technique of proof l...
Abstract. We prove that convolution with affine arclength mea-sure on the curve parametrized by h(t)...
AbstractIn this paper, optimal Lp–Lq estimates are obtained for operators which average functions ov...
MasterIn this paper, we review various bounds of restricted X-ray transform aswell as "Combinatorial...
Abstract. We consider a weighted Radon transform in the plane, Rm(ξ, η) =R R f(x, ξx + η)m(x, ξ, η)d...
AbstractIn this paper new Lαp→Lβq estimates are proved for translation-invariant Radon transforms al...
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy...
AbstractThe Radon transform on the Heisenberg group was introduced by R. Strichartz. We regard it as...
AbstractSingular Radon transforms of order α are defined. For each α ∈ R, a model transform R̃α on R...
We prove several variations on the results of F. Ricci and G. Travaglini (2001), concerning ...
Discrete analogues in harmonic analysis, I: l 2[superscript] estimates for singular radon transform
We consider weighted Radon transforms $R_W$ along hyperplanes in $R^3$ with strictly positive weight...
This thesis contains three articles. The first two concern inversion andlocal injectivity of the wei...
We consider the weighted Radon transforms $R_W$ along hyperplanes in $R^d , \, d ≥ 3$, with strictly...
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