Weighted norm inequalities for spectral multipliers without Gaussian estimates

Details Weighted norm inequalities for spectral multipliers without Gaussian estimates Weighted norm inequalities for spectral multipliers without Gaussian estimates

2012-02-25

arxiv.org/abs/1202.5588v1

Mathematics

Classical Analysis and ODEs

13 pages

Scientific paper

Let $L$ be a non-negative self-adjoint operator on $L^2(\mathbb{R}^n)$. By spectral theory, we can define the operator $F(L)$, which is bounded on $L^2(X)$, for any bounded Borel function $F$. In this paper, we study the sharp weighted $L^p$ estimates for spectral multipliers $F(L)$ and their commutators $[b, F(L)]$ with BMO functions $b$. We would like to emphasize that the Gaussian upper bound condition on the heat kernels associated to the semigroups $e^{-tL}$ is not assumed in this paper.

Affiliated with

Also associated with

No associations

Rating

Weighted norm inequalities for spectral multipliers without Gaussian estimates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weighted norm inequalities for spectral multipliers without Gaussian estimates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weighted norm inequalities for spectral multipliers without Gaussian estimates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-290478