Add to ORKGWe generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of these new bounds is also discussed. These spectral cluster bounds follow from Schatten-type bounds on oscillatory integral operators
In this note we consider oscillation of regulated functions. We improve and simplify the proof of th...
AbstractLet I be a finite or infinite interval, and let W:I→(0,∞). Assume that W2 is a weight, so th...
We give an elementary proof of Burq’s resolvent bounds for long range semiclassical Schrödinger oper...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
The nonlinear Schr\"odinger equation $\NLSE(p, \beta)$, $-iu_t=-u_{xx}+\beta \vert u\vert^{p-2} u=0$...
We investigate problems of estimating the deviation of functions from their de la Vall,e-Poussin sum...
AbstractWe prove that the generalized Trudinger inequalities into exponential and double exponential...
9 pagesWe prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not nece...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
AbstractGiven a bounded open subset Ω of Rd (d⩾1) and a positive finite Borel measure μ supported on...
In this note we consider oscillation of regulated functions. We improve and simplify the proof of th...
AbstractLet I be a finite or infinite interval, and let W:I→(0,∞). Assume that W2 is a weight, so th...
We give an elementary proof of Burq’s resolvent bounds for long range semiclassical Schrödinger oper...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
AbstractOur aim in this paper is to deal with Sobolev's type inequality, Hardy's type inequality and...
The nonlinear Schr\"odinger equation $\NLSE(p, \beta)$, $-iu_t=-u_{xx}+\beta \vert u\vert^{p-2} u=0$...
We investigate problems of estimating the deviation of functions from their de la Vall,e-Poussin sum...
AbstractWe prove that the generalized Trudinger inequalities into exponential and double exponential...
9 pagesWe prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not nece...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
Let n ε N. Let A1, ...Am be n×n invertible matrices. Let 0 ≤ α < n and 0 < αi < n such that α1 +...+...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
AbstractGiven a bounded open subset Ω of Rd (d⩾1) and a positive finite Borel measure μ supported on...
In this note we consider oscillation of regulated functions. We improve and simplify the proof of th...
AbstractLet I be a finite or infinite interval, and let W:I→(0,∞). Assume that W2 is a weight, so th...
We give an elementary proof of Burq’s resolvent bounds for long range semiclassical Schrödinger oper...