Some Estimates forθ-Type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces  

作　　者：Hua Wang 

机构地区：[1]School of Mathematics and Systems Science,Xinjiang University,Urumqi,Xinjiang 830046,China

出　　处：《Analysis in Theory and Applications》2022年第4期361-393,共33页分析理论与应用（英文刊）

摘　　要：In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Furthermore,the strong type estimate and endpoint estimate of linear commutators[b,Tθ]formed by b and Tθare established.Also we study related problems about two-weight,weak type inequalities for Tθand[b,Tθ]in the weighted amalgam spaces and give some results.

关 键 词：θ-type Calderόn–Zygmund operators COMMUTATORS weighted amalgam spaces Muckenhoupt weights Orlicz spaces. 

分 类 号：O177[理学—数学]