A characterization of maximal operators associated with radial fourier multipliers

Jongchon Kim

doi:10.1090/proc/13445

Author(s)

Jongchon Kim

Detail(s)

Original language	English
Pages (from-to)	1077-1085
Number of pages	9
Journal / Publication	Proceedings of the American Mathematical Society
Volume	145
Issue number	3
Online published	18 Nov 2016
Publication status	Published - Mar 2017
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1090/proc/13445 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85007346290&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(5e0e217f-7580-4df4-bfe7-499f553d990d).html

Abstract

We give a simple necessary and sufficient condition for maximal operators associated with radial Fourier multipliers to be bounded on L^p_rad and L^p for certain p greater than 2. The range of exponents obtained for the L^p_rad characterization is optimal for the given condition. The L^p characterization is derived from an inequality of Heo, Nazarov, and Seeger regarding a characterization of radial Fourier multipliers.

Bibliographic Note

Citation Format(s)

[ RIS ] [ BibTeX ]

A characterization of maximal operators associated with radial fourier multipliers. / Kim, Jongchon.
In: Proceedings of the American Mathematical Society, Vol. 145, No. 3, 03.2017, p. 1077-1085.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Kim, J 2017, 'A characterization of maximal operators associated with radial fourier multipliers', Proceedings of the American Mathematical Society, vol. 145, no. 3, pp. 1077-1085. https://doi.org/10.1090/proc/13445

Kim, J. (2017). A characterization of maximal operators associated with radial fourier multipliers. Proceedings of the American Mathematical Society, 145(3), 1077-1085. https://doi.org/10.1090/proc/13445

Kim J. A characterization of maximal operators associated with radial fourier multipliers. Proceedings of the American Mathematical Society. 2017 Mar;145(3):1077-1085. Epub 2016 Nov 18. doi: 10.1090/proc/13445

Kim, Jongchon. / A characterization of maximal operators associated with radial fourier multipliers. In: Proceedings of the American Mathematical Society. 2017 ; Vol. 145, No. 3. pp. 1077-1085.