L p Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets is popular PDF and ePub book, written by Steve Hofmann in 2017-01-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, L p Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets can be Read Online from any device for your convenience.
L p Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets Book PDF Summary
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.
Detail Book of L p Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets PDF
- Author : Steve Hofmann
- Release : 18 January 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470422608
- Genre : Mathematics
- Total Page : 120 pages
- Language : English
- PDF File Size : 18,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book L p Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets by Steve Hofmann, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.