Franklin

Some LP-improving bounds for radon-like transforms / Dominick Villano.

Author/Creator:
Villano, Dominick, author.
Publication:
[Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2019.
Format/Description:
Book
1 online resource (54 pages)
Local subjects:
Mathematics. (search)
Mathematics -- Penn dissertations. (search)
Penn dissertations -- Mathematics. (search)
Language:
English
System Details:
Mode of access: World Wide Web.
Summary:
We prove Lp- Lq boundedness for a wide class of Radon-like transforms. The technique of proof leverages the existing one-dimensional theory to produce a nontrivial bounds in any dimension. For certain combinatorially simple transforms, this range is sharp up to endpoints. Additionally, we make observations connecting the Lp-improving properties of a Radon-like transform to the zero set of certain homogeneous polynomials.
Notes:
Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
Advisors: Gressman, Philip; Committee members: Ryan Hynd; Florian Pop.
Department: Mathematics.
Ph.D. University of Pennsylvania 2019.
Local notes:
School code: 0175
Contributor:
Gressman, Philip, degree supervisor.
University of Pennsylvania. Department of Mathematics. degree granting institution.
Contained In:
Dissertations Abstracts International 81-03B.
ISBN:
9781085633000
Access Restriction:
Restricted for use by site license.
This item must not be sold to any third party vendors.
This item must not be added to any third party search indexes.
Location Notes Your Loan Policy
Description Status Barcode Your Loan Policy