Oscillatory integrals related to Carleson’s theorem

Abstract

now define the corresponding maximal operator by taking the sup over all the coefficients λ = (λα), that is with each λα ranging over R. What are the chances that such a wider result holds? There are a number of specific facts that suggests that this may be true. First is the situation which occurs when, in effect, the “stopping times” involved are themselves polynomials in x. This means we consider operators of the form T (f)(x) = ∫

Locations

• Mathematical Research Letters - View - PDF