No CrossRef data available.
Article contents
Convolution with Odd Kernels Having a Tempered Singularity
Published online by Cambridge University Press: 20 November 2018
Abstract
Suppose b(t) decreases to 0 on [1, ∞). Define the singular integral operator Cb at periodic f of period 1 in L1 (T),T = ( - 1 / 2, 1/2), by
Then, for a large class of b one has the rearrangement inequality
This inequality is used to construct a rearrangement invariant function space X corresponding to a given such space Y so that Cb maps X into Y.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1988