Weighted Norm Estimates and Representation Formulas for Rough Singular Integrals
Classical Analysis and ODEs
2007-05-23 v1
Abstract
Weighted norm estimates and representation formulas are proved for non-homogeneous singular integrals with no regularity condition on the kernel and only an L log L integrability condition. The representation formulas involve averages over a star-shaped set naturally associated with the kernel. The proof of the norm estimates is based on the representation formulas, some new variations of the Hardy-Littlewood maximal function, and weighted Littlewood-Paley theory.
Cite
@article{arxiv.math/9807085,
title = {Weighted Norm Estimates and Representation Formulas for Rough Singular Integrals},
author = {Harri Ojanen},
journal= {arXiv preprint arXiv:math/9807085},
year = {2007}
}
Comments
32 pages, 2 figures