A note on local Hardy spaces

Abstract

We consider a non-negative self-adjoint operator L satisfying generalized Gaussian estimates on a doubling metric measure space, and show that if L has a spectral gap then the local and global Hardy spaces defined by means of appropriate square functions coincide.

9 pages, proof of the main result revised, Propositions 2 and 3 modified

References in corpus (1)

• Non-uniformly local tent spaces