Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 19, 1985 - Issue 1
Submit an article Journal homepage
55
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Derivative norm estimates for the radon transform with application to tomography

M. Z. Nashed C.W.Post Center of Long Island University, Greenvale, N.Y., 11548View further author information
&
James V. Peters C.W.Post Center of Long Island University, Greenvale, N.Y., 11548View further author information
Pages 49-61 | Published online: 02 May 2007
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

AMS (MOS): 44A15

Abstract We consider the mapping that takes each p summable function or. Rn to the s order derivative of its Radon transform. For the range space, a mixed norm with parameters r,q is required. It is shown that the mapping and its inverse are bounded for appropriate values of p,q,r and s. These results are applied to reconstructive tomography.

Additional information

Notes on contributors

M. Z. Nashed

James V. Peters

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.