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Bochner-Riesz Means with Respect to a Generalized Cylinder
- Authors
- Heo, Yaryong; Koh, Youngwoo; Yang, Chan Woo
- Issue Date
- 5월-2014
- Publisher
- SPRINGER BASEL AG
- Keywords
- Bochner-Riesz; Fourier multiplier
- Citation
- INTEGRAL EQUATIONS AND OPERATOR THEORY, v.79, no.1, pp.1 - 21
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTEGRAL EQUATIONS AND OPERATOR THEORY
- Volume
- 79
- Number
- 1
- Start Page
- 1
- End Page
- 21
- ISSN
- 0378-620X
- Abstract
- We study the L-p boundedness of the generalized Bochner-Riesz means S-lambda which are defined as S-lambda f(x) = F-1 [(1-rho)(+)(lambda) (f) over cap] (x) Where rho(xi) = max {vertical bar xi(1)vertical bar,..., vertical bar xi(l)vertical bar} for (xi(1),.... xi(l)) Sigma R-d1 x ... x R-dl and F-1 is the inverse Fourier Transform.
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