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AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES 被引量:1

AREA INTEGRAL FUNCTIONS FOR SECTORIAL OPERATORS ON L^p SPACES
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摘要 Area integral functions are introduced for sectorial operators on L^p-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on L^p spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H^∞ functional calculus of seetorial operators on LP-spaces hold true when the square functions are replaced by the area integral functions. Area integral functions are introduced for sectorial operators on L^p-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on L^p spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H^∞ functional calculus of seetorial operators on LP-spaces hold true when the square functions are replaced by the area integral functions.
作者 陈泽乾 孙牧
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期739-747,共9页 数学物理学报(B辑英文版)
基金 supported by NSFC grant No.11171338
关键词 Sectorial operator H^∞ Functional calculus area integral function square function L^p space Sectorial operator H^∞ Functional calculus area integral function square function L^p space
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