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Averaging Operators Along a Certain Type of Surfaces with Hypersingularity
- Authors
- Lee, Jin Bong; Lee, Jongho; Yang, Chan Woo
- Issue Date
- 4월-2020
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- singular integrals along surfaces; oscillatory integrals; hypersingularity; Bessel functions
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.24, no.2, pp.317 - 329
- Indexed
- SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 24
- Number
- 2
- Start Page
- 317
- End Page
- 329
- ISSN
- 1027-5487
- Abstract
- In this paper we obtain almost sharp decay estimates for L-2 operator norm of strongly singular oscillatory integral operators in Rn+1 for n >= 2; we prove some necessary condition for L-2 estimates. Also, we prove that the operators are bounded on LP for some p not equal 2 and the range of p depends on the hypersingularity of the operators.
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