Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability

Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability

In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. 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 vect...

Full description

Bibliographic Details
Main Authors: Feng Liu, Fangfang Xu
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/4976351
id doaj-bc11e1d770744953928ff3b38ee04578
record_format Article
spelling doaj-bc11e1d770744953928ff3b38ee045782020-11-25T01:29:35ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/49763514976351Weighted Estimates for Rough Maximal Functions with Applications to Angular IntegrabilityFeng Liu0Fangfang Xu1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaIn this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. 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.http://dx.doi.org/10.1155/2019/4976351
collection DOAJ
language English
format Article
sources DOAJ
author Feng Liu
Fangfang Xu
spellingShingle Feng Liu
Fangfang Xu
Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
Journal of Function Spaces
author_facet Feng Liu
Fangfang Xu
author_sort Feng Liu
title Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
title_short Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
title_full Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
title_fullStr Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
title_full_unstemmed Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability
title_sort weighted estimates for rough maximal functions with applications to angular integrability
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2019-01-01
description In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. 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.
url http://dx.doi.org/10.1155/2019/4976351
work_keys_str_mv AT fengliu weightedestimatesforroughmaximalfunctionswithapplicationstoangularintegrability
AT fangfangxu weightedestimatesforroughmaximalfunctionswithapplicationstoangularintegrability
_version_ 1725096231558971392

Similar Items