Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces. (31st October 2016)

• Record Type: Journal Article
• Authors: Wang, Hua
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-10-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/1309348
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators T θ in these new Morrey type spaces. Furthermore, the strong-type estimate and endpoint estimate of commutators [ b, T θ ] formed by b and T θ are established. Also, we study related problems about two-weight, weak-type inequalities for T θ and [ b, T θ ] in the Morrey type spaces and give partial results.