supported by National Natural Science Foundation of China (GrantNo. 11001273);Research Fund for International Young Scientists (Grant No. 11150110456);Research Fundfor the Doctoral Program of Higher Education of China (Grant No. 20100162120035);Postdoctoral Science Foundation of China and Central South University
In this paper the operator-valued martingale transform inequalities in rearrangement invariant function spaces are proved.Some well-known results are generalized and unified.Applications are given to classical operato...
supported by National Natural ScienceFoundation of China (Grant Nos. 11001273, 90820302);the Fundamental Research Funds for the Central Univer-sities (Grant No. 2010QYZD001);Research Fund for the Doctoral Program of Higher Education of China (GrantNo. 20100162120035) ;Postdoctoral Science Foundation of Central South University
We prove Burkholder's inequalities in the frame of Lorentz spaces Lp,q(Ω), 1 < p < ∞, 1 < q < ∞. As application, we obtain the Lp,q-norm estimates on Rosenthal's inequalities. These estimates generalize the classic...