Bilinear oscillatory integrals and boundedness for new bilinear multipliers

Details Bilinear oscillatory integrals and boundedness for new bilinear multipliers Bilinear oscillatory integrals and boundedness for new bilinear multipliers

2009-11-09

arxiv.org/abs/0911.1652v3

Mathematics

Classical Analysis and ODEs

35 pages, 3 figures

Scientific paper

We consider bilinear oscillatory integrals, i.e. pseudo-product operators whose symbol involves an oscillating factor. Lebesgue space inequalities are established, which give decay as the oscillation becomes stronger ; this extends the well-known linear theory of oscillatory integral in some directions. The proof relies on a combination of time-frequency analysis of Coifman-Meyer type with stationary and non-stationary phase estimates. As a consequence of this analysis, we obtain Lebesgue estimates for new bilinear multipliers defined by non-smooth symbols.

Affiliated with

Also associated with

No associations

Rating

Bilinear oscillatory integrals and boundedness for new bilinear multipliers 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 Bilinear oscillatory integrals and boundedness for new bilinear multipliers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bilinear oscillatory integrals and boundedness for new bilinear multipliers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-660088