A comparison principle for convolution measures with applications. (28th September 2020)
- Record Type:
- Journal Article
- Title:
- A comparison principle for convolution measures with applications. (28th September 2020)
- Main Title:
- A comparison principle for convolution measures with applications
- Authors:
- OLIVEIRA E SILVA, DIOGO
QUILODRÁN, RENÉ - Abstract:
- Abstract: We establish the general form of a geometric comparison principle for n-fold convolutions of certain singular measures in ℝ d which holds for arbitrary n and d . This translates into a pointwise inequality between the convolutions of projection measure on the paraboloid and a perturbation thereof, and we use it to establish a new sharp Fourier extension inequality on a general convex perturbation of a parabola. Further applications of the comparison principle to sharp Fourier restriction theory are discussed in the companion paper [3].
- Is Part Of:
- Mathematical proceedings of the Cambridge Philosophical Society. Volume 169:Part 2(2020)
- Journal:
- Mathematical proceedings of the Cambridge Philosophical Society
- Issue:
- Volume 169:Part 2(2020)
- Issue Display:
- Volume 169, Issue 2, Part 2 (2020)
- Year:
- 2020
- Volume:
- 169
- Issue:
- 2
- Part:
- 2
- Issue Sort Value:
- 2020-0169-0002-0002
- Page Start:
- 307
- Page End:
- 322
- Publication Date:
- 2020-09-28
- Subjects:
- 42A85, -- 42B10, -- 26B10
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PSP ↗
- DOI:
- 10.1017/S0305004119000197 ↗
- Languages:
- English
- ISSNs:
- 0305-0041
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 15278.xml