Optimal boundedness of central oscillating multipliers on compact Lie groups

Jiecheng Chen[1]; Dashan Fan[2]

  • [1] Department of Mathematics Zhejiang Normal University Jinhua, Zhejiang 321004 China
  • [2] Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53217 USA

Annales mathématiques Blaise Pascal (2012)

  • Volume: 19, Issue: 1, page 123-145
  • ISSN: 1259-1734

Abstract

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Fefferman-Stein, Wainger and Sjölin proved optimal H p boundedness for certain oscillating multipliers on R d . In this article, we prove an analogue of their result on a compact Lie group.

How to cite

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Chen, Jiecheng, and Fan, Dashan. "Optimal boundedness of central oscillating multipliers on compact Lie groups." Annales mathématiques Blaise Pascal 19.1 (2012): 123-145. <http://eudml.org/doc/251128>.

@article{Chen2012,
abstract = {Fefferman-Stein, Wainger and Sjölin proved optimal $H^\{p\}$ boundedness for certain oscillating multipliers on $\mathbf\{R\}^d$. In this article, we prove an analogue of their result on a compact Lie group.},
affiliation = {Department of Mathematics Zhejiang Normal University Jinhua, Zhejiang 321004 China; Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53217 USA},
author = {Chen, Jiecheng, Fan, Dashan},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Oscillating multiplier; $ H^\{p\}$ spaces; Compact Lie groups; Fourier series; oscillating multipliers; spaces; compact Lie groups},
language = {eng},
month = {1},
number = {1},
pages = {123-145},
publisher = {Annales mathématiques Blaise Pascal},
title = {Optimal boundedness of central oscillating multipliers on compact Lie groups},
url = {http://eudml.org/doc/251128},
volume = {19},
year = {2012},
}

TY - JOUR
AU - Chen, Jiecheng
AU - Fan, Dashan
TI - Optimal boundedness of central oscillating multipliers on compact Lie groups
JO - Annales mathématiques Blaise Pascal
DA - 2012/1//
PB - Annales mathématiques Blaise Pascal
VL - 19
IS - 1
SP - 123
EP - 145
AB - Fefferman-Stein, Wainger and Sjölin proved optimal $H^{p}$ boundedness for certain oscillating multipliers on $\mathbf{R}^d$. In this article, we prove an analogue of their result on a compact Lie group.
LA - eng
KW - Oscillating multiplier; $ H^{p}$ spaces; Compact Lie groups; Fourier series; oscillating multipliers; spaces; compact Lie groups
UR - http://eudml.org/doc/251128
ER -

References

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