Abstract
In this paper, we give L p - L q estimates and the L F regularizing estimate of Radon transforms associated to real analytic functions, and we also give estimates of the decay rate of the L p operator norm of corresponding oscillatory integral operators. For L p - L q estimates and estimates of the decay rate of the L p operator norm we obtain sharp results except for extreme points; however, for L p regularity we allow some restrictions on the phase function.
| Original language | English |
|---|---|
| Pages (from-to) | 3887-3903 |
| Number of pages | 17 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 357 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2005 Oct 1 |
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Keywords
- Oscillatory integral operator
- Radon transform
ASJC Scopus subject areas
- Mathematics(all)
Cite this
L p improving estimates for some classes of Radon transforms. / Yang, Chan Woo.
In: Transactions of the American Mathematical Society, Vol. 357, No. 10, 01.10.2005, p. 3887-3903.Research output: Contribution to journal › Article
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TY - JOUR
T1 - L p improving estimates for some classes of Radon transforms
AU - Yang, Chan Woo
PY - 2005/10/1
Y1 - 2005/10/1
N2 - In this paper, we give L p - L q estimates and the L F regularizing estimate of Radon transforms associated to real analytic functions, and we also give estimates of the decay rate of the L p operator norm of corresponding oscillatory integral operators. For L p - L q estimates and estimates of the decay rate of the L p operator norm we obtain sharp results except for extreme points; however, for L p regularity we allow some restrictions on the phase function.
AB - In this paper, we give L p - L q estimates and the L F regularizing estimate of Radon transforms associated to real analytic functions, and we also give estimates of the decay rate of the L p operator norm of corresponding oscillatory integral operators. For L p - L q estimates and estimates of the decay rate of the L p operator norm we obtain sharp results except for extreme points; however, for L p regularity we allow some restrictions on the phase function.
KW - Oscillatory integral operator
KW - Radon transform
UR - http://www.scopus.com/inward/record.url?scp=26444477006&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=26444477006&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-05-03807-9
DO - 10.1090/S0002-9947-05-03807-9
M3 - Article
AN - SCOPUS:26444477006
VL - 357
SP - 3887
EP - 3903
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 10
ER -