Strong variational and jump inequalities in harmonic analysis
- Roger L. Jones, A. Seeger, James Wright
- Mathematics
- 24 July 2008
We prove variational and jump inequalities for a large class of linear operators arising in harmonic analysis.
Singular integral operators with rough convolution kernels
- A. Seeger
- Mathematics
- 1996
in all dimensions, again under the assumption Q e L log L. It is conceivable that a variant of the arguments in [3] for the maximal operator could also work for the singular integral operator; in…
Extensions of the Stein-Tomas theorem
- Jong-Guk Bak, A. Seeger
- Mathematics
- 28 April 2010
We prove an endpoint version of the Stein-Tomas restriction theorem, for a general class of measures, and with a strengthened Lorentz space estimate. A similar improvement is obtained for Stein's…
Local smoothing of Fourier integral operators and Carleson-Sjölin estimates
- G. Mockenhaupt, A. Seeger, C. Sogge
- Mathematics
- 1993
The purpose of this paper is twofold. First, if Y and Z are smooth paracompact manifolds of dimensions n ~ 2 and n + 1 , respectively, we shall prove local regularity theorems for a certain class of…
Fourier integral operators with fold singularities.
- A. Greenleaf, A. Seeger
- Mathematics
- 1994
are locally diffeomorphisms. In particular dx = dY-=d. Then &εΙ(Χ,Υ,<€') maps ^a.compOO into L> tloc(X) if β ^ a — μ. This was shown by H rmander s a consequence of the calculus in [7]. By composing…
Degenerate Fourier integral operators in the plane
- A. Seeger
- Mathematics
- 1 September 1993
A variation norm Carleson theorem
- R. Oberlin, A. Seeger, T. Tao, C. Thiele, James Wright
- Mathematics
- 8 October 2009
By a standard approximation argument it follows that S[f ] may be meaningfully defined as a continuous function in ξ for almost every x whenever f ∈ L and the a priori bound of the theorem continues…
Wave front sets, local smoothing and Bourgain's circular maximal theorem
- G. Mockenhaupt, A. Seeger, C. Sogge
- Mathematics
- 1 July 1992
The purpose of this paper is to improve certain known regularity results for the wave equation and to give a simple proof of Bourgain's circular maximal theorem [1]. We use easy wave front analysis…
...
...