Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability. (16th July 2019)

• Record Type: Journal Article
• Authors: Liu, Feng; Xu, Fangfang
• Other Names: Bui Huy Qui Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-07-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/4976351
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along "polynomial curves" onR n . As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators.