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Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger restriction theorem in higher dimensions.

Authors :
Hambrook, Kyle
Łaba, Izabella
Source :
Bulletin of the London Mathematical Society; Oct2016, Vol. 48 Issue 5, p757-770, 14p
Publication Year :
2016

Abstract

We prove that the range of exponents in the general L<superscript>2</superscript> Fourier restriction theorem due to Mockenhaupt, Mitsis, Bak, and Seeger is sharp for a large class of measures on R<superscript>d</superscript>. This extends to higher dimensions the sharpness result of Hambrook and Łaba. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00246093
Volume :
48
Issue :
5
Database :
Complementary Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
118250888
Full Text :
https://doi.org/10.1112/blms/bdw041