Hardy Spaces And Potential Theory On C1 Domains In Riemannian Manifolds

Hardy Spaces and Potential Theory on $C^1$ Domains in Riemannian Manifolds

The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.

Hardy Spaces and Potential Theory on C1 Domains in Riemannian Manifolds

Hardy Spaces and Potential Theory on C[superscript 1] Domains in Riemannian Manifolds

Studies Hardy spaces on $C DEGREES1$ and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is $C DEGREES1$, in case of a Lipschitz domain the result holds if dim $M\le 3$. The remaining cases for Lipschitz domain