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An endpoint estimate for the cone multiplier
Author(s):
Yaryong
Heo;
Sunggeum
Hong;
Chan
Woo
Yang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1333-1347.
MSC (2000):
Primary 42B15
Posted:
November 23, 2009
MathSciNet review:
2578526
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Additional information
Abstract:
In this paper we consider an endpoint estimate for high-dimensional cone multipliers.
References:
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 behavior of eigenfunction expansions and singular integral operators, in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987), 29-50, Austral. Nat. Univ., Canberra, 1988. MR 0953981 (89k:42024) - 2.
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 bounds for rough operators, Ann. of Math. (2) 128 (1988), no. 1, 19-42. MR 0951506 (89m:42013) - 3.
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 for large  , Geom. Funct. Anal. 10 (2000), no. 5, 1237-1288. MR 1800068 (2001k:42030) - 7.
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Additional Information:
Yaryong
Heo
Affiliation:
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
Address at time of publication:
Pohang Mathematics Institute, Pohang University of Science & Technology, Pohang 790-784, Korea
Email:
heo@math.wisc.edu, heo@postech.ac.kr
Sunggeum
Hong
Affiliation:
Department of Mathematics, Chosun University, Gwangju 501-759, Republic of Korea
Email:
skhong@mail.chosun.ac.kr
Chan
Woo
Yang
Affiliation:
Department of Mathematics, Korea University, Seoul 136-701, Republic of Korea
Email:
cw_yang@korea.ac.kr
DOI:
10.1090/S0002-9939-09-10112-0
PII:
S 0002-9939(09)10112-0
Keywords:
Cone multipliers.
Received by editor(s):
October 6, 2008,
Received by editor(s) in revised form:
July 8, 2009
Posted:
November 23, 2009
Additional Notes:
The first author was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-357-C00002).
The second author was supported by the Korea Research Foundation Grant funded by the Korean Government (MEST) (No. 2009-0065011).
The third author was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-331-C00016).
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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