Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2. Issue 2 (3rd May 2020)
- Record Type:
- Journal Article
- Title:
- Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2. Issue 2 (3rd May 2020)
- Main Title:
- Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2
- Authors:
- Guo, Shaoming
Roos, Joris
Seeger, Andreas
Yung, Po-Lam - Abstract:
- Abstract: Let M ( u ), H ( u ) be the maximal operator and Hilbert transform along the parabola ( t, ut 2 ). For U ⊂ (0, ∞) we consider L p estimates for the maximal functions sup u ∈ U | M ( u ) f | and sup u ∈ U | H ( u ) f |, when 1 < p ≤ 2. The parabolas can be replaced by more general non-flat homogeneous curves.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 63:Issue 2(2020)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 63:Issue 2(2020)
- Issue Display:
- Volume 63, Issue 2 (2020)
- Year:
- 2020
- Volume:
- 63
- Issue:
- 2
- Issue Sort Value:
- 2020-0063-0002-0000
- Page Start:
- 398
- Page End:
- 412
- Publication Date:
- 2020-05-03
- Subjects:
- maximal functions, -- Hilbert transforms along curves, -- maximal and singular Radon transforms
42B15, -- 42B20, -- 42B25, -- 44A12
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S0013091519000439 ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 15274.xml