HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL. Issue 2 (9th February 2017)
- Record Type:
- Journal Article
- Title:
- HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL. Issue 2 (9th February 2017)
- Main Title:
- HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL
- Authors:
- Guo, Shaoming
Thiele, Christoph - Abstract:
- Abstract : We prove bounds for the truncated directional Hilbert transform in L p ( R 2 ) for any 1 < p < ∞ under a combination of a Lipschitz assumption and a lacunarity assumption. It is known that a lacunarity assumption alone is not sufficient to yield boundedness for p = 2, and it is a major question in the field whether a Lipschitz assumption alone suffices, at least for some p .
- Is Part Of:
- Mathematika. Volume 63:Issue 2(2017)
- Journal:
- Mathematika
- Issue:
- Volume 63:Issue 2(2017)
- Issue Display:
- Volume 63, Issue 2 (2017)
- Year:
- 2017
- Volume:
- 63
- Issue:
- 2
- Issue Sort Value:
- 2017-0063-0002-0000
- Page Start:
- 351
- Page End:
- 363
- Publication Date:
- 2017-02-09
- Subjects:
- 42B20 -- 42B25 (primary)
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=MTK ↗
https://londmathsoc.onlinelibrary.wiley.com/journal/20417942 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1112/S0025579316000280 ↗
- Languages:
- English
- ISSNs:
- 0025-5793
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 12966.xml