The Szeg? Type Factorization Theorems On Noncommutative Hardy-Orlicz-Lorentz Spaces

Based on Arveson’s sense,in this thesis,we generated noncommutative HardyLorentz spaces to more general noncommutative Hardy-Orlicz-Lorentz spaces.The noncommutative Hardy-Orlicz-Lorentz spaces played a greater role in modern analysis and forecasting.The Szego type factorization theorems are known for their intrinsic meanings and promises.Many applications have attracted much attention,and have also been generalized to the operator value case.The Szego theorem computed from 1 to A weighted L2(T)distance formula for an analytic polynomial with zero origin,while a commutative Riesz type factorization theorems are direct applications of the Szego type factorization theorems.We first given the definition of noncommutative Hardy-Orlicz-Lorentz spaces,and then discussed the following separately The Szego type factorization theorems on noncommutative Hardy-OrliczLorentz spaces generated by N functions and growth functions.Finally,given the definition of outer operator in noncommutative Hardy-Orlicz-Lorentz spaces,and further discussion of the factorization theorems of outer operators.