Area integral functions and $H^{\8}$ functional calculus for sectorial operators on Hilbert spaces
Functional Analysis
2012-07-06 v1
Abstract
Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's results on functional calculus of sectorial operators on Hilbert spaces to the case when the square functions are replaced by the area integral functions.
Cite
@article{arxiv.1207.1174,
title = {Area integral functions and $H^{\8}$ functional calculus for sectorial operators on Hilbert spaces},
author = {Zeqian Chen and Mu Sun},
journal= {arXiv preprint arXiv:1207.1174},
year = {2012}
}
Comments
7 pages