Article ID Journal Published Year Pages File Type
4663961 Acta Mathematica Scientia 2014 9 Pages PDF
Abstract

Area integral functions are introduced for sectorial operators on Lp-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on Lp spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on Hinfin functional calculus of sectorial operators on Lp-spaces hold true when the square functions are replaced by the area integral functions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)