ESTIMATES FOR CONE MULTIPLIERS ASSOCIATED WITH HOMOGENEOUS FUNCTIONS
- Authors
- Hong, Sunggeum; Kim, Joonil; Yang, Chan Woo
- Issue Date
- 2009
- Publisher
- ROCKY MT MATH CONSORTIUM
- Keywords
- Homogeneous function; uniform boundedness; cone multiplier
- Citation
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.39, no.1, pp.117 - 132
- Indexed
- SCIE
SCOPUS
- Journal Title
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Volume
- 39
- Number
- 1
- Start Page
- 117
- End Page
- 132
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/122182
- DOI
- 10.1216/RMJ-2009-39-1-117
- ISSN
- 0035-7596
- Abstract
- Let rho is an element of C(infinity)(R(n) \ {0}) be homogeneous of degree one. We show that the convolution operator (T(delta)f) over cap(xi', xi(n+1)) = (1 - rho(xi')/vertical bar xi(n+1)vertical bar)(delta) (f) over cap(xi', xi(n+1)), (xi', xi(n+1)) is an element of R(n) x R(1) is bounded from Hardy spaces H(P)(R(n+1)) to L(P)(R(n+1)) for delta > n(1/p - 1/2) - 1/2, 0 < p < 1.
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