Applied and Computational Mathematics Seminar

Speaker: Gary Sampson
Title: Two Weighted Estimates for Fourier Type Operators

Abstract:

Abstract: We prove two weighted estimates for Fourier transform type
operators. This includes the Fourier transform. We employ three articles
with W. B. Jurkat and one article with S. Bloom. "On maximal rearrangement
inequalities ..." Trans. AMS, (1984), "On rearrangement and weight
inequalities ..." Indiana U. Math. J., (1984), and "Two weighted (L^p,L^q)
estimates..." Rocky Mountain Math. J. (1993). We also obtain necessary and
sufficient conditions for weighted estimates for some sublinear operators.
Carleson's maximal operator is included here.