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The generalized localization for multiple Fourier integrals.

In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bo...

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Main Authors: Ashurov , Ravshan, Ahmedov, Anvarjon, Mahmud , Ahmad Rodzi
Format: Article
Language:English
English
Published: Academic Press Inc. 2010
Online Access:http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf
http://psasir.upm.edu.my/id/eprint/17168/
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spelling my.upm.eprints.171682015-11-12T04:13:06Z http://psasir.upm.edu.my/id/eprint/17168/ The generalized localization for multiple Fourier integrals. Ashurov , Ravshan Ahmedov, Anvarjon Mahmud , Ahmad Rodzi In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bochner–Riesz means of a function f∈Lp(RN), 1⩽p⩽2 converge to zero almost-everywhere on RN∖supp(f). Academic Press Inc. 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf Ashurov , Ravshan and Ahmedov, Anvarjon and Mahmud , Ahmad Rodzi (2010) The generalized localization for multiple Fourier integrals. Journal of Mathematical Analysis and Applications , 371 (2). pp. 832-841. ISSN 0022-247X; ESSN: 1096-0813 10.1016/j.jmaa.2010.06.014 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description In this paper we investigate almost-everywhere convergence properties of the Bochner–Riesz means of N-fold Fourier integrals under summation over domains bounded by the level surfaces of the elliptic polynomials. It is proved that if the order of the Bochner–Riesz means s⩾(N−1)(1/p−1/2), then the Bochner–Riesz means of a function f∈Lp(RN), 1⩽p⩽2 converge to zero almost-everywhere on RN∖supp(f).
format Article
author Ashurov , Ravshan
Ahmedov, Anvarjon
Mahmud , Ahmad Rodzi
spellingShingle Ashurov , Ravshan
Ahmedov, Anvarjon
Mahmud , Ahmad Rodzi
The generalized localization for multiple Fourier integrals.
author_facet Ashurov , Ravshan
Ahmedov, Anvarjon
Mahmud , Ahmad Rodzi
author_sort Ashurov , Ravshan
title The generalized localization for multiple Fourier integrals.
title_short The generalized localization for multiple Fourier integrals.
title_full The generalized localization for multiple Fourier integrals.
title_fullStr The generalized localization for multiple Fourier integrals.
title_full_unstemmed The generalized localization for multiple Fourier integrals.
title_sort generalized localization for multiple fourier integrals.
publisher Academic Press Inc.
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/17168/1/The%20generalized%20localization%20for%20multiple%20Fourier%20integrals.pdf
http://psasir.upm.edu.my/id/eprint/17168/
_version_ 1643826435027107840
score 13.160551

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