Open AccessSingular integrals on symmetric spaces, II
Author(s) -
Alexandru D. Ionescu
Publication year - 2003
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-03-03312-9
Subject(s) - annotation , mathematics , type (biology) , algorithm , semantics (computer science) , computer science , artificial intelligence , ecology , biology , programming language
We extend some of our earlier results on boundedness of singular integrals on symmetric spaces of real rank one to arbitrary noncompact symmetric spaces. Our main theorem is a transference principle for operators defined by K \mathbb {K} -bi-invariant kernels with certain large scale cancellation properties. As an application we prove L p L^p boundedness of operators defined by Fourier multipliers that satisfy singular differential inequalities of the Hörmander–Michlin type.