|
Tai Nguyen So - Vietnam National University, Ha Noi - VNU >
TRƯỜNG ĐẠI HỌC CÔNG NGHỆ >
PTN Micro Nano >
New - Articles of Universities of Vietnam from Scopus >
Search
|
Please use this identifier to cite or link to this item:
http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12942
|
| Title: | Maximal functions and weighted norm inequalities on local fields |
| Authors: | Chuong N.M.
Hung H.D. |
| Keywords: | Aℓ weighted norm inequalities
Boundedness
Local fields
Maximal functions
Reverse weak type estimates
Zygmund class |
| Issue Date: | 2010 |
| Publisher: | Applied and Computational Harmonic Analysis |
| Citation: | Volume 29, Issue 3, Page 272-286 |
| Abstract: | Weight functions are characterized so that Hardy-Littlewood maximal operator is bounded in certain spaces. The reverse weak type estimates with applications to some singular integrals and to the class L(1+log+L) of Zygmund are established. These results are also compared with the ones in Euclidean case which are obtained by K.F. Andersen and W.S. Young, thereby showing the differences between the two cases. We introduce a weak type estimate for a new class of maximal function and employ it to deduce a special result on singular operators over a local field which is obtained by K. Phillips and M. Taibleson. © 2009 Elsevier Inc. All rights reserved. |
| URI: | http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12942 |
| ISSN: | 10635203 |
| Appears in Collections: | New - Articles of Universities of Vietnam from Scopus
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
