Singular Integrals with Power Weights

Abstract

This note contains proofs of weighted weak-type $(1,1)$ and weighted ${L^p}$ inequalities (with power weights ${\left | x \right |^\alpha }$) for singular integrals whose kernels satisfy Hörmander’s condition, and also various size conditions. Some counter-examples are also given, yielding sharp results.

Locations

• Proceedings of the American Mathematical Society - View - PDF