Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutat...
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Wiley
2014-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/790671 |
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author | Shuangping Tao Lijuan Wang |
author_facet | Shuangping Tao Lijuan Wang |
author_sort | Shuangping Tao |
collection | DOAJ |
description | By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent. |
format | Article |
id | doaj-art-c8494aa916354d5b97bcbd2da9acd589 |
institution | Kabale University |
issn | 2356-6140 1537-744X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | The Scientific World Journal |
spelling | doaj-art-c8494aa916354d5b97bcbd2da9acd5892025-02-03T01:32:43ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/790671790671Littlewood-Paley Operators on Morrey Spaces with Variable ExponentShuangping Tao0Lijuan Wang1College of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, ChinaBy applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.http://dx.doi.org/10.1155/2014/790671 |
spellingShingle | Shuangping Tao Lijuan Wang Littlewood-Paley Operators on Morrey Spaces with Variable Exponent The Scientific World Journal |
title | Littlewood-Paley Operators on Morrey Spaces with Variable Exponent |
title_full | Littlewood-Paley Operators on Morrey Spaces with Variable Exponent |
title_fullStr | Littlewood-Paley Operators on Morrey Spaces with Variable Exponent |
title_full_unstemmed | Littlewood-Paley Operators on Morrey Spaces with Variable Exponent |
title_short | Littlewood-Paley Operators on Morrey Spaces with Variable Exponent |
title_sort | littlewood paley operators on morrey spaces with variable exponent |
url | http://dx.doi.org/10.1155/2014/790671 |
work_keys_str_mv | AT shuangpingtao littlewoodpaleyoperatorsonmorreyspaceswithvariableexponent AT lijuanwang littlewoodpaleyoperatorsonmorreyspaceswithvariableexponent |