6 papers
On second-order weak sharp minima of general nonconvex set-constrained optimization problems
Xiaoxiao Ma, Wei Ouyang, Jane Ye +1
This paper explores local second-order weak sharp minima for a broad class of nonconvex optimization problems. We propose novel second-order optimality conditions formulated throug…
New second-order optimality conditions for directional optimality of a general set-constrained optimization problem
Wei Ouyang, Jane Ye, Binbin Zhang
In this paper we derive new second-order optimality conditions for a very general set-constrained optimization problem where the underlying set may be nononvex. We consider local o…
A Littlewood-Paley type theorem for Bergman spaces
Zeqian Chen, Wei Ouyang
In this paper, we prove that the original Littlewood-Paley -functions can be used to characterize Bergman spaces as well.
Real-variable characterizations of Bergman spaces
Zeqian Chen, Wei Ouyang
In this paper, we give a survey of results obtained recently by the present authors on real-variable characterizations of Bergman spaces, which are closely related to maximal and a…
Tent spaces and Littlewood-Paley -functions associated with Bergman spaces in the unit ball of
Zeqian Chen, Wei Ouyang
In this paper, a family of holomorphic spaces of tent type in the unit ball of is introduced, which is closely related to maximal and area integral functions in term…
Maximal and area integral characterizations of Bergman spaces in the unit ball of
Zeqian Chen, Wei Ouyang
In this paper, we present maximal and area integral characterizations of Bergman spaces in the unit ball of The characterizations are in terms of maximal functions…