Hardy-Littlewood Theorems for A-Harmonic Tensors

Craig A. Nolder

The theory of conjugate harmonic functions plays a central role in such areas of mathematics as potential theory, harmonic analysis and the theory of H^p-spaces. Conjugate harmonic functions have many analytical properties in common, among these are global L^p-integrability and Hoelder continuity. These discoveries essentially began with the work of Hardy and Littlewood in the 1930's.

We mention three specific results.