Mathematics – Classical Analysis and ODEs
Scientific paper
2011-10-05
Mathematics
Classical Analysis and ODEs
Scientific paper
We prove weak-type (1,1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\Delta^*\Psi$ where $\Delta^*$ is Bourgain's maximal multiplier operator and $\Psi$ is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the $L^q$ operator norm when $1 < q < 2$. We also consider associated variation-norm estimates.
No associations
LandOfFree
Estimates for compositions of maximal operators with singular integrals 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 Estimates for compositions of maximal operators with singular integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimates for compositions of maximal operators with singular integrals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-325956