Add to ORKGA necessary condition is established for the optimal $(L^p,L^2)$ restriction theorem to hold on a hypersurface $S$, in terms of its Gaussian curvature. For some classes of flat hypersurface we give sharp thresholds for the range of admissible exponents $p$, depending on the specific geometry
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
In this article, we continue the study of the problem of Lp-boundedness of the maximal operator M as...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
A necessary condition is established for the optimal (Lp, L2) restriction theorem to hold on a hyper...
Recently, L. Guth improved the restriction estimate for the surfaces with strictly positive Gaussian...
Abstract. We show, using a Knapp-type homogeneity argument, that the (Lp, L2) restriction theorem im...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
Abstract. We investigate restriction theorems for hypersurfaces of revolution in R3, with affine cur...
f(x − ty)dσ(y), where S is a smooth compact hypersurface in Rn and dσ denotes the Lebesgue measure o...
This thesis is concerned with the restriction theory of the Fourier transform. We prove two restrict...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue measure on Γ, then it is well known that ...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
The aim of this note is to give a geometric insight into the classical second order optimality condi...
A Fourier restriction estimate is obtained for a broad class of conic surfaces by adding a weight to...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
In this article, we continue the study of the problem of Lp-boundedness of the maximal operator M as...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
A necessary condition is established for the optimal (Lp, L2) restriction theorem to hold on a hyper...
Recently, L. Guth improved the restriction estimate for the surfaces with strictly positive Gaussian...
Abstract. We show, using a Knapp-type homogeneity argument, that the (Lp, L2) restriction theorem im...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
Abstract. We investigate restriction theorems for hypersurfaces of revolution in R3, with affine cur...
f(x − ty)dσ(y), where S is a smooth compact hypersurface in Rn and dσ denotes the Lebesgue measure o...
This thesis is concerned with the restriction theory of the Fourier transform. We prove two restrict...
If Γ is a C3 hypersurface in Rn and dσ is induced Lebesgue measure on Γ, then it is well known that ...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
The aim of this note is to give a geometric insight into the classical second order optimality condi...
A Fourier restriction estimate is obtained for a broad class of conic surfaces by adding a weight to...
We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities an...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
In this article, we continue the study of the problem of Lp-boundedness of the maximal operator M as...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...