Abstract:
We prove weak type inequalities for a large class of noncommutative square functions. In conjunction with BMO type estimates, interpolation and duality, we obtain the cor...Show MoreMetadata
Abstract:
We prove weak type inequalities for a large class of noncommutative square functions. In conjunction with BMO type estimates, interpolation and duality, we obtain the corresponding equivalences in the whole Lp scale. Examples and applications include weak type (1, 1) boundedness for the noncommutative analogs of Stein's ergodic averages, Littlewood-Paley g-functions and Lusin-area integrals or optimal constants for the Littlewood-Paley inequality of noncommutative Lp valued functions.
Published in: International Mathematics Research Notices ( Volume: 2009, Issue: 8, 2009)
DOI: 10.1093/imrn/rnn165
Generalized integral inequality to admissibility analysis for T-S fuzzy singular time-delay systems
Huayang Zhang,Zhiguang Feng
Enhanced Admissibility Criterion of Singular Systems with Time-Varying Delays via Free-Matrix-Based Integral Inequality
Hae Seong Lee,Hye Seung Hong,PooGyeon Park
New delay-dependent stability criteria using improved double integral inequality for singular systems
Nan Zhao,Chong Lin,Bing Chen
An improved stability criterion for singular systems with time-varying delay via a relaxed integral inequality
Zhi Ya-Li,He Yong,Wu Min
Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
Jun Chen,Shengyuan Xu,Baoyong Zhang
A Note on Relationship Between Two Classes of Integral Inequalities
Jun Chen,Shengyuan Xu,Baoyong Zhang,Guobao Liu
A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems
Jun Hui Lee,In Seok Park,Poogyeon Park
Stability Analysis for Systems With Time Delays via New Integral Inequalities
Zhichen Li,Congzhi Huang,Huaicheng Yan
Stability Analysis of Distributed Time-Delay Systems Based on Improved Free-Matrix-Based Double Integral Inequality
Haisheng Tian,Deren Gong,Wang Nan,Dengping Duan