Bochner-Riesz means associated with conical surfaces
- Authors
- Heo, Yaryong
- Issue Date
- 15-1월-2013
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Fourier multipliers; Cone multiplier; Bochner-Riesz means
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.397, no.2, pp.715 - 729
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 397
- Number
- 2
- Start Page
- 715
- End Page
- 729
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/104198
- DOI
- 10.1016/j.jmaa.2012.08.016
- ISSN
- 0022-247X
- Abstract
- Let d(1) and d(2) be two nonnegative integers greater than 2. We study the Fourier multiplier T-lambda associated with a conical surface S = {(xi, tau) is an element of R-d1 x R-d2 : vertical bar xi vertical bar = vertical bar tau vertical bar} defined by (T lambda f) over cap(xi, tau) = (1 - vertical bar xi vertical bar(2)/vertical bar tau vertical bar(2))(+)(lambda) psi(vertical bar tau vertical bar)(f) over cap(xi, tau) is an element of R-d1 x R-d2, where psi is a smooth function defined on Ilt, that is supported in (1/2, 2). (C) 2012 Elsevier Inc. All rights reserved.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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