Open AccessRestriction and extension of Fourier multipliers between weighted 𝐿^{𝑝} spaces on ℝⁿ and 𝕋ⁿ
Author(s) -
Kenneth F. Andersen,
Parasar Mohanty
Publication year - 2008
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-08-09774-8
Subject(s) - algorithm , artificial intelligence , computer science
Weighted analogues of de Leeuw’s restriction theorem for Fourier multipliers on L p ( R n ) L^p(\mathbb {R}^n) are obtained. Weighted analogues of related extension theorems for multipliers on L p ( T ) L^p(\mathbb {T}) are also considered.