Let E be a Riesz space with a disjoint system {u_i :i∈I}. We denote by E_i the principal band generated by u_i(i∈I). A necessary and sufficient condition is found in this paper under which sup{X_i:i∈I} exists in E ...Let E be a Riesz space with a disjoint system {u_i :i∈I}. We denote by E_i the principal band generated by u_i(i∈I). A necessary and sufficient condition is found in this paper under which sup{X_i:i∈I} exists in E for every x_i∈E (i∈I).展开更多
A norm relation between nontangential square function and nontangential maximalfunction of 1-forms is obtained.As applications,the author gets L^p-boundedness ofLittlewood-Paley-Stein g-function operator on 1-forms,an...A norm relation between nontangential square function and nontangential maximalfunction of 1-forms is obtained.As applications,the author gets L^p-boundedness ofLittlewood-Paley-Stein g-function operator on 1-forms,and gives an analytic proof ofL^p-boundedness of Riesz transform,where 1【p【∞.展开更多
文摘Let E be a Riesz space with a disjoint system {u_i :i∈I}. We denote by E_i the principal band generated by u_i(i∈I). A necessary and sufficient condition is found in this paper under which sup{X_i:i∈I} exists in E for every x_i∈E (i∈I).
文摘A norm relation between nontangential square function and nontangential maximalfunction of 1-forms is obtained.As applications,the author gets L^p-boundedness ofLittlewood-Paley-Stein g-function operator on 1-forms,and gives an analytic proof ofL^p-boundedness of Riesz transform,where 1【p【∞.
