arXiv subjects

S. Dekel

Publications and source records attributed to S. Dekel.

2 recordsLinked to original sources

arXiv2014

A new proof of the atomic decomposition of Hardy spaces

A new proof is given of the atomic decomposition of Hardy spaces Hp, in the classical setting of Rn. The new method can be used to establish atomic decomposition of maximal Hardy spaces in general setting and non classical settings.

math.FA↗

arXiv2014

Hardy spaces associated with non-negative self-adjoint operators

Maximal and atomic Hardy spaces Hp and HAp , are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. It is shown that Hp = HAp with equivalent norms.

math.FA↗