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a| MiAaPQD b| eng e| rda c| MiAaPQD
a| Villano, Dominick, e| author.
a| Some LP-improving bounds for radon-like transforms / c| Dominick Villano.
a| [Philadelphia, Pennsylvania] : b| University of Pennsylvania ; a| Ann Arbor : b| ProQuest Dissertations & Theses, c| 2019.
a| 1 online resource (54 pages)
a| text b| txt 2| rdacontent
a| computer b| c 2| rdamedia
a| online resource b| cr 2| rdacarrier
a| Source: Dissertations Abstracts International, Volume: 81-03, Section: B.
a| Advisors: Gressman, Philip; Committee members: Ryan Hynd; Florian Pop.
a| Department: Mathematics.
b| Ph.D. c| University of Pennsylvania d| 2019.
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a| 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.
a| Also available in print.
a| Mode of access: World Wide Web.
a| School code: 0175
a| Mathematics x| Penn dissertations.
a| Penn dissertations x| Mathematics.
a| Gressman, Philip, e| degree supervisor.
a| University of Pennsylvania. b| Department of Mathematics. e| degree granting institution.
t| Dissertations Abstracts International g| 81-03B.
u| http://hdl.library.upenn.edu/1017.12/2508767 z| Connect to full text