Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e...Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e. on Ω,and there exists a constant C such that Sα(f) ‖*≤ C ‖f‖*. The same result also holds for g(f).展开更多
基金supported by Natural Science Foundation of Fujian Province (Grant No. 2009J01004)
文摘Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e. on Ω,and there exists a constant C such that Sα(f) ‖*≤ C ‖f‖*. The same result also holds for g(f).
